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133141262141331 = 32101146470035359
BaseRepresentation
bin11110010001011101011101…
…101000101000011110010011
3122110102011212110220212101100
4132101131131220220132103
5114422341301102010311
61151100130151235443
740021065410306313
oct3621353550503623
9573364773825340
10133141262141331
113947198a547554
1212b23803378b83
13593a2232b8062
1424c410018b443
15105d49a721a56
hex79175da28793

133141262141331 has 12 divisors (see below), whose sum is σ = 194219266887360. Its totient is φ = 87882021214800.

The previous prime is 133141262141269. The next prime is 133141262141341.

133141262141331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 4 + 12 + 621 + 4 + 13 + 3 + 1 = 666.

133141262141331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133141262141331 - 29 = 133141262140819 is a prime.

It is a super-2 number, since 2×1331412621413312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133141262141341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73235016771 + ... + 73235018588.

It is an arithmetic number, because the mean of its divisors is an integer number (16184938907280).

Almost surely, 2133141262141331 is an apocalyptic number.

133141262141331 is a deficient number, since it is larger than the sum of its proper divisors (61078004746029).

133141262141331 is a wasteful number, since it uses less digits than its factorization.

133141262141331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146470035466 (or 146470035463 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 133141262141331 in words is "one hundred thirty-three trillion, one hundred forty-one billion, two hundred sixty-two million, one hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 101 303 909 146470035359 439410106077 1318230318231 14793473571259 44380420713777 133141262141331