Search a number
-
+
102831193314816 = 293611097498221
BaseRepresentation
bin10111011000011001000000…
…101111111101011000000000
3111111002120021200000200210120
4113120121000233331120000
5101434241240442033231
61002411555325100240
730442210555224201
oct2730310057753000
9444076250020716
10102831193314816
112a84651190587a
12b64945a6b7680
13454bc2b0123c5
141b570b07415a8
15bd4d1e332d96
hex5d8640bfd600

102831193314816 has 80 divisors (see below), whose sum is σ = 278439688914288. Its totient is φ = 33715145318400.

The previous prime is 102831193314791. The next prime is 102831193314823. The reversal of 102831193314816 is 618413391138201.

It is a super-2 number, since 2×1028311933148162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 548655415 + ... + 548842806.

Almost surely, 2102831193314816 is an apocalyptic number.

102831193314816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102831193314816 is an abundant number, since it is smaller than the sum of its proper divisors (175608495599472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102831193314816 is an equidigital number, since it uses as much as digits as its factorization.

102831193314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097498303 (or 1097498287 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 102831193314816 in words is "one hundred two trillion, eight hundred thirty-one billion, one hundred ninety-three million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1464 1536 1952 2928 3904 5856 7808 11712 15616 23424 31232 46848 93696 1097498221 2194996442 3292494663 4389992884 6584989326 8779985768 13169978652 17559971536 26339957304 35119943072 52679914608 66947391481 70239886144 105359829216 133894782962 140479772288 200842174443 210719658432 267789565924 280959544576 401684348886 421439316864 535579131848 561919089152 803368697772 842878633728 1071158263696 1606737395544 1685757267456 2142316527392 3213474791088 4284633054784 6426949582176 8569266109568 12853899164352 17138532219136 25707798328704 34277064438272 51415596657408 102831193314816