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131753112104641 = 29831092272212241
BaseRepresentation
bin11101111101010000101001…
…011100011110111011000001
3122021111110210220201120121111
4131331100221130132323001
5114232120333144322031
61144114313310323321
736515563640551246
oct3575205134367301
9567443726646544
10131753112104641
1138a871a9a94075
121293a7767b9541
13586935a7331c1
142476c556a55cd
151037302a971b1
hex77d42971eec1

131753112104641 has 32 divisors (see below), whose sum is σ = 139817233987200. Its totient is φ = 123975628600320.

The previous prime is 131753112104543. The next prime is 131753112104671. The reversal of 131753112104641 is 146401211357131.

It is a cyclic number.

It is not a de Polignac number, because 131753112104641 - 27 = 131753112104513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131753112104594 and 131753112104603.

It is not an unprimeable number, because it can be changed into a prime (131753112104671) 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, 58450281 + ... + 60662521.

It is an arithmetic number, because the mean of its divisors is an integer number (4369288562100).

Almost surely, 2131753112104641 is an apocalyptic number.

It is an amenable number.

131753112104641 is a deficient number, since it is larger than the sum of its proper divisors (8064121882559).

131753112104641 is a wasteful number, since it uses less digits than its factorization.

131753112104641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212689.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 131753112104641 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, one hundred twelve million, one hundred four thousand, six hundred forty-one".

Divisors: 1 29 83 109 227 2407 3161 6583 9047 18841 24743 262363 546389 717547 2053669 2212241 59556401 64154989 183616003 241134269 502178707 5324864087 6992893801 14563182503 20014144327 41680832681 54737479063 580410185483 1208744147749 1587386892827 4543210762229 131753112104641