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113202132032 = 26111732393889
BaseRepresentation
bin110100101101101011…
…1110111010001000000
3101211012020210010201202
41221123113313101000
53323314221211112
6124000534320332
711115153150233
oct1513327672100
9354166703652
10113202132032
114401071a320
1219b331b90a8
13a8a0a33ca2
14569c5a541a
152e282b76c2
hex1a5b5f7440

113202132032 has 112 divisors (see below), whose sum is σ = 247568313600. Its totient is φ = 50930933760.

The previous prime is 113202132023. The next prime is 113202132041. The reversal of 113202132032 is 230231202311.

It is an interprime number because it is at equal distance from previous prime (113202132023) and next prime (113202132041).

It is a junction number, because it is equal to n+sod(n) for n = 113202131995 and 113202132013.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29106344 + ... + 29110232.

Almost surely, 2113202132032 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 113202132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123784156800).

113202132032 is an abundant number, since it is smaller than the sum of its proper divisors (134366181568).

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

113202132032 is a wasteful number, since it uses less digits than its factorization.

113202132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113202132032 its reverse (230231202311), we get a palindrome (343433334343).

The spelling of 113202132032 in words is "one hundred thirteen billion, two hundred two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 173 176 239 346 352 478 692 704 956 1384 1903 1912 2629 2768 3806 3824 3889 5258 5536 7612 7648 7778 10516 11072 15224 15296 15556 21032 30448 31112 41347 42064 42779 60896 62224 82694 84128 85558 121792 124448 165388 168256 171116 248896 330776 342232 454817 661552 672797 684464 909634 929471 1323104 1345594 1368928 1819268 1858942 2646208 2691188 2737856 3638536 3717884 5382376 7277072 7400767 7435768 10224181 10764752 14554144 14801534 14871536 20448362 21529504 29108288 29603068 29743072 40896724 43059008 59206136 59486144 81793448 118412272 160798483 163586896 236824544 321596966 327173792 473649088 643193932 654347584 1286387864 1768783313 2572775728 3537566626 5145551456 7075133252 10291102912 14150266504 28300533008 56601066016 113202132032