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31202020096 = 2813194710499
BaseRepresentation
bin11101000011110010…
…010000101100000000
32222112112002211221221
4131003302100230000
51002400204120341
622200051324424
72153133536422
oct350362205400
988475084857
1031202020096
11122617aa575
1260695b0714
132c33415bb0
14171dd42812
15c29412ed1
hex743c90b00

31202020096 has 144 divisors (see below), whose sum is σ = 72112320000. Its totient is φ = 13351440384.

The previous prime is 31202020093. The next prime is 31202020103. The reversal of 31202020096 is 69002020213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31202020096.

It is not an unprimeable number, because it can be changed into a prime (31202020093) by changing a digit.

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, 2966655 + ... + 2977153.

It is an arithmetic number, because the mean of its divisors is an integer number (500780000).

Almost surely, 231202020096 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 31202020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36056160000).

31202020096 is an abundant number, since it is smaller than the sum of its proper divisors (40910299904).

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

31202020096 is a wasteful number, since it uses less digits than its factorization.

31202020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 31202020096 in words is "thirty-one billion, two hundred two million, twenty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 64 76 94 104 128 152 188 208 247 256 304 376 416 494 608 611 752 832 893 988 1216 1222 1504 1664 1786 1976 2432 2444 3008 3328 3572 3952 4864 4888 6016 7144 7904 9776 10499 11609 12032 14288 15808 19552 20998 23218 28576 31616 39104 41996 46436 57152 63232 78208 83992 92872 114304 136487 156416 167984 185744 199481 228608 272974 335968 371488 398962 493453 545948 671936 742976 797924 986906 1091896 1343872 1485952 1595848 1973812 2183792 2593253 2687744 2971904 3191696 3947624 4367584 5186506 6383392 6414889 7895248 8735168 9375607 10373012 12766784 12829778 15790496 17470336 18751214 20746024 25533568 25659556 31580992 34940672 37502428 41492048 51067136 51319112 63161984 75004856 82984096 102638224 121882891 126323968 150009712 165968192 205276448 243765782 300019424 331936384 410552896 487531564 600038848 663872768 821105792 975063128 1200077696 1642211584 1950126256 2400155392 3900252512 7800505024 15601010048 31202020096