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105014063231 = 71143262112101
BaseRepresentation
bin110000111001101010…
…0110111000001111111
3101001001121111010221022
41201303110313001333
53210032100010411
6120124235454355
710405226544440
oct1416324670177
9331047433838
10105014063231
1140599779010
1218428bb73bb
139b9755346c
145122d432c7
152ae951cedb
hex187353707f

105014063231 has 32 divisors (see below), whose sum is σ = 134033619456. Its totient is φ = 79889040000.

The previous prime is 105014063179. The next prime is 105014063239. The reversal of 105014063231 is 132360410501.

It is not a de Polignac number, because 105014063231 - 210 = 105014062207 is a prime.

It is a super-2 number, since 2×1050140632312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105014063231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105014063239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8672081 + ... + 8684181.

It is an arithmetic number, because the mean of its divisors is an integer number (4188550608).

Almost surely, 2105014063231 is an apocalyptic number.

105014063231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105014063231 is a deficient number, since it is larger than the sum of its proper divisors (29019556225).

105014063231 is a wasteful number, since it uses less digits than its factorization.

105014063231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14783.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 105014063231 its reverse (132360410501), we get a palindrome (237374473732).

The spelling of 105014063231 in words is "one hundred five billion, fourteen million, sixty-three thousand, two hundred thirty-one".

Divisors: 1 7 11 43 77 301 473 2621 3311 12101 18347 28831 84707 112703 133111 201817 520343 788921 931777 1239733 3642401 5723773 8678131 31716721 40066411 222017047 348883931 1363819003 2442187517 9546733021 15002009033 105014063231