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10032012311031 = 32191032931943959
BaseRepresentation
bin1001000111111100001010…
…0001111011100111110111
31022112001101012001010222200
42101333002201323213313
52303331030122423111
633200350503555543
72053534421451204
oct221770241734767
938461335033880
1010032012311031
113218609463117
12116033075bbb3
1357a0263b83b9
142697a2918cab
15125e50562256
hex91fc287b9f7

10032012311031 has 48 divisors (see below), whose sum is σ = 15454015449600. Its totient is φ = 6253075267776.

The previous prime is 10032012310997. The next prime is 10032012311051. The reversal of 10032012311031 is 13011321023001.

10032012311031 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 1 + 2 + 311 + 0 + 31 = 666.

It is not a de Polignac number, because 10032012311031 - 210 = 10032012310007 is a prime.

It is a super-2 number, since 2×100320123110312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032012310995 and 10032012311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032012311051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4188630 + ... + 6132588.

It is an arithmetic number, because the mean of its divisors is an integer number (321958655200).

Almost surely, 210032012311031 is an apocalyptic number.

10032012311031 is a deficient number, since it is larger than the sum of its proper divisors (5422003138569).

10032012311031 is a wasteful number, since it uses less digits than its factorization.

10032012311031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944380 (or 1944377 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10032012311031 its reverse (13011321023001), we get a palindrome (23043333334032).

The spelling of 10032012311031 in words is "ten trillion, thirty-two billion, twelve million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 9 19 57 103 171 293 309 879 927 1957 2637 5567 5871 16701 17613 30179 50103 90537 271611 573401 1720203 1943959 5160609 5831877 17495631 36935221 110805663 200227777 332416989 569579987 600683331 1708739961 1802049993 3804327763 5126219883 10822019753 11412983289 32466059259 34238949867 58666738661 97398177777 176000215983 528000647949 1114668034559 3344004103677 10032012311031