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113311031202 = 232232963114957
BaseRepresentation
bin110100110000111011…
…1010001111110100010
3101211110211200210022100
41221201313101332202
53324030110444302
6124015424351230
711120644605435
oct1514167217642
9354424623270
10113311031202
1144067139936
1219b63775516
13a8ba472275
1456acc3181c
152e32b28d1c
hex1a61dd1fa2

113311031202 has 96 divisors (see below), whose sum is σ = 265453044480. Its totient is φ = 34824746880.

The previous prime is 113311031191. The next prime is 113311031213. The reversal of 113311031202 is 202130113311.

113311031202 is a `hidden beast` number, since 11 + 331 + 10 + 312 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (113311031191) and next prime (113311031213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7568308 + ... + 7583264.

It is an arithmetic number, because the mean of its divisors is an integer number (2765135880).

Almost surely, 2113311031202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113311031202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132726522240).

113311031202 is an abundant number, since it is smaller than the sum of its proper divisors (152142013278).

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

113311031202 is a wasteful number, since it uses less digits than its factorization.

113311031202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15648 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113311031202 its reverse (202130113311), we get a palindrome (315441144513).

The spelling of 113311031202 in words is "one hundred thirteen billion, three hundred eleven million, thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 631 667 1262 1334 1893 2001 3786 4002 5679 6003 11358 12006 14513 14957 18299 29026 29914 36598 43539 44871 54897 87078 89742 109794 130617 134613 164691 261234 269226 329382 344011 420877 433753 688022 841754 867506 1032033 1262631 1301259 2064066 2525262 2602518 3096099 3787893 3903777 6192198 7575786 7807554 9437867 9976319 18875734 19952638 28313601 29928957 56627202 59857914 84940803 89786871 169881606 179573742 217070941 273698143 434141882 547396286 651212823 821094429 1302425646 1642188858 1953638469 2463283287 3907276938 4926566574 6295057289 12590114578 18885171867 37770343734 56655515601 113311031202