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102663963831 = 31121388724527
BaseRepresentation
bin101111110011100111…
…1111100010010110111
3100210222211100201121210
41133213033330102313
53140223433320311
6115055125012503
710263052202622
oct1374717742267
9323884321553
10102663963831
113a5a3149600
1217a91b54133
1398b16b98c0
144d7cb92db9
152a0d0523a6
hex17e73fc4b7

102663963831 has 48 divisors (see below), whose sum is σ = 162223875072. Its totient is φ = 57367295040.

The previous prime is 102663963817. The next prime is 102663963859. The reversal of 102663963831 is 138369366201.

It is not a de Polignac number, because 102663963831 - 25 = 102663963799 is a prime.

It is a super-2 number, since 2×1026639638312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102663963811) 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, 4173490 + ... + 4198016.

It is an arithmetic number, because the mean of its divisors is an integer number (3379664064).

Almost surely, 2102663963831 is an apocalyptic number.

102663963831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102663963831 is a deficient number, since it is larger than the sum of its proper divisors (59559911241).

102663963831 is a wasteful number, since it uses less digits than its factorization.

102663963831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25452 (or 25441 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 102663963831 in words is "one hundred two billion, six hundred sixty-three million, nine hundred sixty-three thousand, eight hundred thirty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 887 1573 2661 4719 9757 11531 24527 29271 34593 73581 107327 126841 269797 318851 321981 380523 809391 956553 1395251 2967767 3507361 4185753 8903301 10522083 21755449 38580971 65266347 115742913 239309939 282820837 717929817 848462511 2632409329 3111029207 7897227987 9333087621 34221321277 102663963831