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113102574 = 23132711571
BaseRepresentation
bin1101011110111…
…00111011101110
321212211012120020
412233130323232
5212423240244
615120103010
72542233054
oct657347356
9255735506
10113102574
1158930702
1231a64a66
131a580600
14110421d4
159de1d19
hex6bdceee

113102574 has 48 divisors (see below), whose sum is σ = 248552064. Its totient is φ = 34288800.

The previous prime is 113102557. The next prime is 113102579. The reversal of 113102574 is 475201311.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113102579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71209 + ... + 72779.

It is an arithmetic number, because the mean of its divisors is an integer number (5178168).

Almost surely, 2113102574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113102574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124276032).

113102574 is an abundant number, since it is smaller than the sum of its proper divisors (135449490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113102574 is a wasteful number, since it uses less digits than its factorization.

113102574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 113102574 is about 10634.9693934679. The cubic root of 113102574 is about 483.6050525544.

Adding to 113102574 its reverse (475201311), we get a palindrome (588303885).

The spelling of 113102574 in words is "one hundred thirteen million, one hundred two thousand, five hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 338 426 507 923 1014 1571 1846 2769 3142 4713 5538 9426 11999 20423 23998 35997 40846 61269 71994 111541 122538 223082 265499 334623 530998 669246 796497 1450033 1592994 2900066 4350099 8700198 18850429 37700858 56551287 113102574