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105101050111014 = 23314313140916493
BaseRepresentation
bin10111111001011010111110…
…110000011110010000100110
3111210010120011220001011110010
4113321122332300132100212
5102233433422312023024
61011310431133511050
731065204666523146
oct2771327660362046
9453116156034403
10105101050111014
1130541117899781
12b955355042486
134684ca94508b9
141bd4cbcc8c926
15c23dbd509b29
hex5f96bec1e426

105101050111014 has 32 divisors (see below), whose sum is σ = 222028925082624. Its totient is φ = 33115109559840.

The previous prime is 105101050111007. The next prime is 105101050111019. The reversal of 105101050111014 is 410111050101501.

It is a super-2 number, since 2×1051010501110142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101050111019) 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, 6570450249 + ... + 6570466244.

It is an arithmetic number, because the mean of its divisors is an integer number (6938403908832).

Almost surely, 2105101050111014 is an apocalyptic number.

105101050111014 is an abundant number, since it is smaller than the sum of its proper divisors (116927874971610).

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

105101050111014 is a wasteful number, since it uses less digits than its factorization.

105101050111014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140916572.

The product of its (nonzero) digits is 100, while the sum is 21.

The spelling of 105101050111014 in words is "one hundred five trillion, one hundred one billion, fifty million, one hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 31 43 62 86 93 129 186 258 1333 2666 3999 7998 13140916493 26281832986 39422749479 78845498958 407368411283 565059409199 814736822566 1130118818398 1222105233849 1695178227597 2444210467698 3390356455194 17516841685169 35033683370338 52550525055507 105101050111014