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113515116 = 223111383797
BaseRepresentation
bin1101100010000…
…01101001101100
321220121011110120
412301001221230
5213024440431
615133004540
72545601601
oct661015154
9256534416
10113515116
1159092650
1232023750
131a696310
141110c6a8
159e74196
hex6c41a6c

113515116 has 96 divisors (see below), whose sum is σ = 315318528. Its totient is φ = 31330560.

The previous prime is 113515111. The next prime is 113515117. The reversal of 113515116 is 611515311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113515111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142030 + ... + 142826.

It is an arithmetic number, because the mean of its divisors is an integer number (3284568).

Almost surely, 2113515116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113515116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157659264).

113515116 is an abundant number, since it is smaller than the sum of its proper divisors (201803412).

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

113515116 is a wasteful number, since it uses less digits than its factorization.

113515116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its digits is 450, while the sum is 24.

The square root of 113515116 is about 10654.3472817437. The cubic root of 113515116 is about 484.1923227669.

The spelling of 113515116 in words is "one hundred thirteen million, five hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 83 132 143 156 166 249 286 332 429 498 572 797 858 913 996 1079 1594 1716 1826 2158 2391 2739 3188 3237 3652 4316 4782 5478 6474 8767 9564 10361 10956 11869 12948 17534 20722 23738 26301 31083 35068 35607 41444 47476 52602 62166 66151 71214 105204 113971 124332 132302 142428 198453 227942 264604 341913 396906 455884 683826 727661 793812 859963 1367652 1455322 1719926 2182983 2579889 2910644 3439852 4365966 5159778 8731932 9459593 10319556 18919186 28378779 37838372 56757558 113515116