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10023231012313 = 2910111330283769
BaseRepresentation
bin1001000111011011011100…
…0111111011110111011001
31022111012201012110221201211
42101312313013323313121
52303210034114343223
633152335254143121
72053104002604211
oct221666707736731
938435635427654
1010023231012313
113214912668452
12115a69b951aa1
1357925703c65c
142691ac593241
15125ad9685d0d
hex91db71fbdd9

10023231012313 has 16 divisors (see below), whose sum is σ = 10564190326800. Its totient is φ = 9496989644800.

The previous prime is 10023231012287. The next prime is 10023231012383. The reversal of 10023231012313 is 31321013232001.

It can be written as a sum of positive squares in 8 ways, for example, as 494452267929 + 9528778744384 = 703173^2 + 3086872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10023231012313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10023231012383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14810908 + ... + 15472861.

It is an arithmetic number, because the mean of its divisors is an integer number (660261895425).

Almost surely, 210023231012313 is an apocalyptic number.

It is an amenable number.

10023231012313 is a deficient number, since it is larger than the sum of its proper divisors (540959314487).

10023231012313 is a wasteful number, since it uses less digits than its factorization.

10023231012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30284012.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10023231012313 its reverse (31321013232001), we get a palindrome (41344244244314).

The spelling of 10023231012313 in words is "ten trillion, twenty-three billion, two hundred thirty-one million, twelve thousand, three hundred thirteen".

Divisors: 1 29 101 113 2929 3277 11413 330977 30283769 878229301 3058660669 3422065897 88701159401 99239911013 345628655597 10023231012313