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102313323020031 = 323431289255110487
BaseRepresentation
bin10111010000110110101101…
…010001100011111011111111
3111102021001120101200221122020
4113100312231101203323333
5101402300141143120111
61001334031451251223
730356615344314654
oct2720665521437377
9442231511627566
10102313323020031
112a6669225a6412
12b585010a49b13
1345121497a8606
141b39dc4015c2b
15bc660e917906
hex5d0dad463eff

102313323020031 has 64 divisors (see below), whose sum is σ = 145843463208960. Its totient is φ = 63645523603200.

The previous prime is 102313323019981. The next prime is 102313323020057. The reversal of 102313323020031 is 130020323313201.

It is not a de Polignac number, because 102313323020031 - 29 = 102313323019519 is a prime.

It is a super-3 number, since 3×1023133230200313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102313323019983 and 102313323020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313323060031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9756199870 + ... + 9756210356.

It is an arithmetic number, because the mean of its divisors is an integer number (2278804112640).

Almost surely, 2102313323020031 is an apocalyptic number.

102313323020031 is a deficient number, since it is larger than the sum of its proper divisors (43530140188929).

102313323020031 is a wasteful number, since it uses less digits than its factorization.

102313323020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14396.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102313323020031 its reverse (130020323313201), we get a palindrome (232333646333232).

The spelling of 102313323020031 in words is "one hundred two trillion, three hundred thirteen billion, three hundred twenty-three million, twenty thousand, thirty-one".

Divisors: 1 3 23 43 69 129 989 1289 2551 2967 3867 7653 10487 29647 31461 55427 58673 88941 109693 166281 176019 241201 329079 450941 723603 1274821 1352823 2522939 3288239 3824463 7568817 9864717 10371643 13517743 26752337 31114929 40553229 75629497 80257011 141394277 226888491 310908089 424182831 581262949 615303751 932724267 1150350491 1743788847 1845911253 3252068371 3451051473 9756205113 13369047827 26458061293 34483762393 40107143481 79374183879 103451287179 793126535039 1482801782899 2379379605117 4448405348697 34104441006677 102313323020031