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2141765076031 = 717232931870437
BaseRepresentation
bin11111001010101011001…
…001011000010000111111
321120202021021211212211121
4133022223021120100333
5240042313324413111
64315525134331411
7310510635524440
oct37125311302077
97522237755747
102141765076031
11756354605749
122a7108959b67
13126c76a09149
147593a6a32c7
153aaa3b59871
hex1f2ab25843f

2141765076031 has 64 divisors (see below), whose sum is σ = 2887904378880. Its totient is φ = 1544223098880.

The previous prime is 2141765076019. The next prime is 2141765076037. The reversal of 2141765076031 is 1306705671412.

It is not a de Polignac number, because 2141765076031 - 213 = 2141765067839 is a prime.

It is a super-2 number, since 2×21417650760312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141765076037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025345 + ... + 2895781.

It is an arithmetic number, because the mean of its divisors is an integer number (45123505920).

Almost surely, 22141765076031 is an apocalyptic number.

2141765076031 is a deficient number, since it is larger than the sum of its proper divisors (746139302849).

2141765076031 is a wasteful number, since it uses less digits than its factorization.

2141765076031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870544.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 2141765076031 in words is "two trillion, one hundred forty-one billion, seven hundred sixty-five million, seventy-six thousand, thirty-one".

Divisors: 1 7 17 23 29 31 119 161 203 217 391 493 527 667 713 899 2737 3451 3689 4669 4991 6293 11339 12121 15283 20677 79373 84847 106981 144739 351509 870437 2460563 6093059 14797429 20020051 25242673 26983547 103582003 140140357 176698711 188884829 340340867 429125441 458720299 580581479 620621581 782522863 2382386069 3003878087 3211042093 4064070353 4344351067 5477660041 9869885143 10550566877 13302888671 17998025849 69089196001 73853968139 93120220697 125986180943 305966439433 2141765076031