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10031032032 = 253767222793
BaseRepresentation
bin10010101011110010…
…10110011011100000
3221220002011020001220
421111321112123200
5131020421011112
64335211455040
7503402236230
oct112571263340
927802136056
1010031032032
11428828a91a
121b3b457480
13c3b264118
146b231dcc0
153da98c98c
hex255e566e0

10031032032 has 96 divisors (see below), whose sum is σ = 30542383872. Its totient is φ = 2823220224.

The previous prime is 10031032013. The next prime is 10031032057. The reversal of 10031032032 is 23023013001.

10031032032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 66373 + ... + 156420.

It is an arithmetic number, because the mean of its divisors is an integer number (318149832).

Almost surely, 210031032032 is an apocalyptic number.

10031032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10031032032 is an abundant number, since it is smaller than the sum of its proper divisors (20511351840).

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

10031032032 is a wasteful number, since it uses less digits than its factorization.

10031032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222880 (or 222872 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10031032032 its reverse (23023013001), we get a palindrome (33054045033).

The spelling of 10031032032 in words is "ten billion, thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 168 201 224 268 336 402 469 536 672 804 938 1072 1407 1608 1876 2144 2814 3216 3752 5628 6432 7504 11256 15008 22512 45024 222793 445586 668379 891172 1336758 1559551 1782344 2673516 3119102 3564688 4678653 5347032 6238204 7129376 9357306 10694064 12476408 14927131 18714612 21388128 24952816 29854262 37429224 44781393 49905632 59708524 74858448 89562786 104489917 119417048 149716896 179125572 208979834 238834096 313469751 358251144 417959668 477668192 626939502 716502288 835919336 1253879004 1433004576 1671838672 2507758008 3343677344 5015516016 10031032032