IntegerLength[n] gives the number of digits in the base 10 representation of the integer n.IntegerLength[n, b] gives the number of digits in the base b representation of n.
Integers represents the domain of integers, as in x \[Element] Integers.
IntegerQ[expr] gives True if expr is an integer, and False otherwise.
IntegerString[n] gives a string consisting of the decimal digits in the integer n. IntegerString[n, b] gives a string consisting of the base b digits in the integer n. ...
IntegerPart[x] gives the integer part of x.
IntegerPartitions[n] gives a list of all possible ways to partition the integer n into smaller integers. IntegerPartitions[n, k] gives partitions into at most k integers. ...
FactorInteger[n] gives a list of the prime factors of the integer n, together with their exponents. FactorInteger[n, k] does partial factorization, pulling out at most k ...
DigitCount[n, b, d] gives the number of d digits in the base-b representation of n. DigitCount[n, b] gives a list of the numbers of 1, 2, ..., b - 1, 0 digits in the base-b ...
IntegerExponent[n, b] gives the highest power of b that divides n.