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131031234314241 = 32923931192020423
BaseRepresentation
bin11101110010110000010110…
…001011010000000000000001
3122011221110112000022021110020
4131302300112023100000001
5114133303431441023431
61142402530144124053
736412460064562242
oct3562602613200001
9564843460267406
10131031234314241
113882904187a768
1212842893306629
135816266862b71
14244dd34952cc9
151023652ea1696
hex772c162d0001

131031234314241 has 32 divisors (see below), whose sum is σ = 181547218944000. Its totient is φ = 83962079009088.

The previous prime is 131031234314219. The next prime is 131031234314273. The reversal of 131031234314241 is 142413432130131.

It is a happy number.

It is not a de Polignac number, because 131031234314241 - 26 = 131031234314177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131031234314641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63843156 + ... + 65863578.

It is an arithmetic number, because the mean of its divisors is an integer number (5673350592000).

Almost surely, 2131031234314241 is an apocalyptic number.

It is an amenable number.

131031234314241 is a deficient number, since it is larger than the sum of its proper divisors (50515984629759).

131031234314241 is a wasteful number, since it uses less digits than its factorization.

131031234314241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023813.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131031234314241 its reverse (142413432130131), we get a palindrome (273444666444372).

The spelling of 131031234314241 in words is "one hundred thirty-one trillion, thirty-one billion, two hundred thirty-four million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 29 87 239 717 3119 6931 9357 20793 90451 271353 745441 2020423 2236323 6061269 21617789 58592267 64853367 175776801 482881097 1448643291 6301699337 14003551813 18905098011 42010655439 182749280773 548247842319 1506106141543 4518318424629 43677078104747 131031234314241