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113032310101032 = 23377611511585119
BaseRepresentation
bin11001101100110101100010…
…101100010001010000101000
3112211012210011000222020210210
4121230311202230101100220
5104303410132341213112
61040222154300541120
732544213005224140
oct3154654254212050
9484183130866723
10113032310101032
1133019808340003
1210816503b517a0
134b0bb9396712a
141dcab15dbd920
15d1036a799b3c
hex66cd62b11428

113032310101032 has 128 divisors (see below), whose sum is σ = 323588398694400. Its totient is φ = 32231108006400.

The previous prime is 113032310100973. The next prime is 113032310101043. The reversal of 113032310101032 is 230101013230311.

It is a happy number.

113032310101032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1130323101010323 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192885769 + ... + 193470887.

It is an arithmetic number, because the mean of its divisors is an integer number (2528034364800).

Almost surely, 2113032310101032 is an apocalyptic number.

113032310101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113032310101032 is an abundant number, since it is smaller than the sum of its proper divisors (210556088593368).

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

113032310101032 is a wasteful number, since it uses less digits than its factorization.

113032310101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587407 (or 587403 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113032310101032 its reverse (230101013230311), we get a palindrome (343133323331343).

The spelling of 113032310101032 in words is "one hundred thirteen trillion, thirty-two billion, three hundred ten million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 761 1511 1522 2283 3022 3044 4533 4566 5327 6044 6088 9066 9132 10577 10654 12088 15981 18132 18264 21154 21308 31731 31962 36264 42308 42616 63462 63924 84616 126924 127848 253848 585119 1149871 1170238 1755357 2299742 2340476 3449613 3510714 4095833 4599484 4680952 6899226 7021428 8049097 8191666 9198968 12287499 13798452 14042856 16098194 16383332 24147291 24574998 27596904 32196388 32766664 48294582 49149996 64392776 96589164 98299992 193178328 445275559 884114809 890551118 1335826677 1768229618 1781102236 2652344427 2671653354 3116928913 3536459236 3562204472 5304688854 5343306708 6188803663 6233857826 7072918472 9350786739 10609377708 10686613416 12377607326 12467715652 18566410989 18701573478 21218755416 24755214652 24935431304 37132821978 37403146956 49510429304 74265643956 74806293912 148531287912 672811369649 1345622739298 2018434108947 2691245478596 4036868217894 4709679587543 5382490957192 8073736435788 9419359175086 14129038762629 16147472871576 18838718350172 28258077525258 37677436700344 56516155050516 113032310101032