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131433240101121 = 347673459770989
BaseRepresentation
bin11101111000100110101111…
…100101101000000100000001
3122020100220011111010011210000
4131320212233211220010001
5114211400233431213441
61143311332535230213
736453511133436360
oct3570465745500401
9566326144104700
10131433240101121
1138973584641472
12128a8786218369
1358451418c353a
14246558d2797d7
15102dd30a022b6
hex7789af968101

131433240101121 has 40 divisors (see below), whose sum is σ = 227735965645760. Its totient is φ = 73983742807392.

The previous prime is 131433240101101. The next prime is 131433240101197. The reversal of 131433240101121 is 121101042334131.

131433240101121 is a `hidden beast` number, since 1 + 3 + 1 + 433 + 2 + 4 + 0 + 101 + 121 = 666.

It is not a de Polignac number, because 131433240101121 - 215 = 131433240068353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131433240101101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1729847506 + ... + 1729923483.

It is an arithmetic number, because the mean of its divisors is an integer number (5693399141144).

Almost surely, 2131433240101121 is an apocalyptic number.

It is an amenable number.

131433240101121 is a deficient number, since it is larger than the sum of its proper divisors (96302725544639).

131433240101121 is an equidigital number, since it uses as much as digits as its factorization.

131433240101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459771075 (or 3459771066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131433240101121 its reverse (121101042334131), we get a palindrome (252534282435252).

The spelling of 131433240101121 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, two hundred forty million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 67 81 189 201 469 567 603 1407 1809 4221 5427 12663 37989 3459770989 10379312967 24218396923 31137938901 72655190769 93413816703 217965572307 231804656263 280241450109 653896716921 695413968789 1622632593841 1961690150763 2086241906367 4867897781523 6258725719101 14603693344569 18776177157303 43811080033707 131433240101121