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31683134112 = 2537431109391
BaseRepresentation
bin11101100000011101…
…100100001010100000
310000210001101222022120
4131200131210022200
51004341340242422
622315515304240
72201065124250
oct354035441240
9100701358276
1031683134112
1112489337663
12618274b080
132cabcb7946
141767bbd960
15c5679a45c
hex7607642a0

31683134112 has 96 divisors (see below), whose sum is σ = 95270805504. Its totient is φ = 9031238400.

The previous prime is 31683134089. The next prime is 31683134173. The reversal of 31683134112 is 21143138613.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234937 + ... + 344327.

It is an arithmetic number, because the mean of its divisors is an integer number (992404224).

Almost surely, 231683134112 is an apocalyptic number.

31683134112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31683134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47635402752).

31683134112 is an abundant number, since it is smaller than the sum of its proper divisors (63587671392).

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

31683134112 is a wasteful number, since it uses less digits than its factorization.

31683134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109842 (or 109834 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The spelling of 31683134112 in words is "thirty-one billion, six hundred eighty-three million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 431 672 862 1293 1724 2586 3017 3448 5172 6034 6896 9051 10344 12068 13792 18102 20688 24136 36204 41376 48272 72408 96544 109391 144816 218782 289632 328173 437564 656346 765737 875128 1312692 1531474 1750256 2297211 2625384 3062948 3500512 4594422 5250768 6125896 9188844 10501536 12251792 18377688 24503584 36755376 47147521 73510752 94295042 141442563 188590084 282885126 330032647 377180168 565770252 660065294 754360336 990097941 1131540504 1320130588 1508720672 1980195882 2263081008 2640261176 3960391764 4526162016 5280522352 7920783528 10561044704 15841567056 31683134112