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31000310112 = 2531734614049
BaseRepresentation
bin11100110111110000…
…110011000101100000
32222000110112220212210
4130313300303011200
51001442034410422
622124044122120
72145134200602
oct346760630540
988013486783
1031000310112
1112168959902
126011b36340
132c006b0485
141701237172
15c1686c10c
hex737c33160

31000310112 has 96 divisors (see below), whose sum is σ = 82043992800. Its totient is φ = 10248888320.

The previous prime is 31000310059. The next prime is 31000310153. The reversal of 31000310112 is 21101300013.

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

It is a super-2 number, since 2×310003101122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7654264 + ... + 7658312.

It is an arithmetic number, because the mean of its divisors is an integer number (854624925).

Almost surely, 231000310112 is an apocalyptic number.

31000310112 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 31000310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41021996400).

31000310112 is an abundant number, since it is smaller than the sum of its proper divisors (51043682688).

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

31000310112 is a wasteful number, since it uses less digits than its factorization.

31000310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31000310112 its reverse (21101300013), we get a palindrome (52101610125).

The spelling of 31000310112 in words is "thirty-one billion, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 461 519 692 922 1038 1383 1384 1844 2076 2766 2768 3688 4049 4152 5532 5536 7376 8098 8304 11064 12147 14752 16196 16608 22128 24294 32392 44256 48588 64784 79753 97176 129568 159506 194352 239259 319012 388704 478518 638024 700477 957036 1276048 1400954 1866589 1914072 2101431 2552096 2801908 3733178 3828144 4202862 5599767 5603816 7466356 7656288 8405724 11199534 11207632 14932712 16811448 22399068 22415264 29865424 33622896 44798136 59730848 67245792 89596272 179192544 322919897 645839794 968759691 1291679588 1937519382 2583359176 3875038764 5166718352 7750077528 10333436704 15500155056 31000310112