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31424330112 = 273791912721
BaseRepresentation
bin11101010001000010…
…010011100110000000
310000010000102100222020
4131101002103212000
51003324112030422
622234112241440
72161503253530
oct352102234600
9100100370866
1031424330112
111236624035a
12610bb40280
132c6a4b1b96
1417416914c0
15c3dbc795c
hex751093980

31424330112 has 128 divisors (see below), whose sum is σ = 95506598400. Its totient is φ = 8967905280.

The previous prime is 31424330107. The next prime is 31424330159. The reversal of 31424330112 is 21103342413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463912 + ... + 2476632.

It is an arithmetic number, because the mean of its divisors is an integer number (746145300).

Almost surely, 231424330112 is an apocalyptic number.

31424330112 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 31424330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47753299200).

31424330112 is an abundant number, since it is smaller than the sum of its proper divisors (64082268288).

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

31424330112 is a wasteful number, since it uses less digits than its factorization.

31424330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13664 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31424330112 its reverse (21103342413), we get a palindrome (52527672525).

The spelling of 31424330112 in words is "thirty-one billion, four hundred twenty-four million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 919 1344 1838 2688 2757 3676 5514 6433 7352 11028 12721 12866 14704 19299 22056 25442 25732 29408 38163 38598 44112 50884 51464 58816 76326 77196 88224 89047 101768 102928 117632 152652 154392 176448 178094 203536 205856 267141 305304 308784 352896 356188 407072 411712 534282 610608 617568 712376 814144 823424 1068564 1221216 1235136 1424752 1628288 2137128 2442432 2470272 2849504 4274256 4884864 5699008 8548512 11398016 11690599 17097024 23381198 34194048 35071797 46762396 70143594 81834193 93524792 140287188 163668386 187049584 245502579 280574376 327336772 374099168 491005158 561148752 654673544 748198336 982010316 1122297504 1309347088 1496396672 1964020632 2244595008 2618694176 3928041264 4489190016 5237388352 7856082528 10474776704 15712165056 31424330112