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10013313231 = 341096591721
BaseRepresentation
bin10010101001101011…
…10000100011001111
3221211211211000110000
421110311300203033
5131001402010411
64333340015343
7503065521015
oct112465604317
927754730400
1010013313231
114279288489
121b35531553
13c3769c11c
146adc2a8b5
153d913c956
hex254d708cf

10013313231 has 40 divisors (see below), whose sum is σ = 15127081200. Its totient is φ = 6600424320.

The previous prime is 10013313229. The next prime is 10013313353. The reversal of 10013313231 is 13231331001.

It is a happy number.

10013313231 is a `hidden beast` number, since 10 + 0 + 1 + 331 + 323 + 1 = 666.

10013313231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013313231 - 21 = 10013313229 is a prime.

It is a super-2 number, since 2×100133132312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013314231) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5817451 + ... + 5819171.

It is an arithmetic number, because the mean of its divisors is an integer number (378177030).

Almost surely, 210013313231 is an apocalyptic number.

10013313231 is a deficient number, since it is larger than the sum of its proper divisors (5113767969).

10013313231 is a wasteful number, since it uses less digits than its factorization.

10013313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10013313231 its reverse (13231331001), we get a palindrome (23244644232).

The spelling of 10013313231 in words is "ten billion, thirteen million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 27 81 109 327 659 981 1721 1977 2943 5163 5931 8829 15489 17793 46467 53379 71831 139401 187589 215493 562767 646479 1134139 1688301 1939437 3402417 5064903 5818311 10207251 15194709 30621753 91865259 123621151 370863453 1112590359 3337771077 10013313231