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131433442024101 = 372894105047783
BaseRepresentation
bin11101111000100110111011…
…100111111001101010100101
3122020100220200120001221000220
4131320212323213321222211
5114211401142124232401
61143311404551154553
736453516134653200
oct3570467347715245
9566326616057026
10131433442024101
1138973678618168
12128a8821975a59
1358451746a1ba9
1424655abddc937
15102dd435db336
hex7789bb9f9aa5

131433442024101 has 12 divisors (see below), whose sum is σ = 203855950894752. Its totient is φ = 75104824013688.

The previous prime is 131433442024069. The next prime is 131433442024103. The reversal of 131433442024101 is 101420244334131.

It is a happy number.

It is not a de Polignac number, because 131433442024101 - 25 = 131433442024069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131433442024103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447052523745 + ... + 447052524038.

It is an arithmetic number, because the mean of its divisors is an integer number (16987995907896).

Almost surely, 2131433442024101 is an apocalyptic number.

It is an amenable number.

131433442024101 is a deficient number, since it is larger than the sum of its proper divisors (72422508870651).

131433442024101 is an equidigital number, since it uses as much as digits as its factorization.

131433442024101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894105047800 (or 894105047793 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131433442024101 its reverse (101420244334131), we get a palindrome (232853686358232).

The spelling of 131433442024101 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, four hundred forty-two million, twenty-four thousand, one hundred one".

Divisors: 1 3 7 21 49 147 894105047783 2682315143349 6258735334481 18776206003443 43811147341367 131433442024101