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131300331222321 = 32711610931275523
BaseRepresentation
bin11101110110101010111101…
…100110011111010100110001
3122012220012002211121120121100
4131312222331212133110301
5114202211034243103241
61143130312304515013
736441064415551662
oct3566527546372461
9565805084546540
10131300331222321
1138922180a89678
1212886a7331ba69
13583575018c861
14245cd81727369
15102a6525e89b6
hex776abd99f531

131300331222321 has 24 divisors (see below), whose sum is σ = 192328590407616. Its totient is φ = 86300083810080.

The previous prime is 131300331222169. The next prime is 131300331222343. The reversal of 131300331222321 is 123222133003131.

131300331222321 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 0 + 3 + 312 + 22 + 321 = 666.

It is not a de Polignac number, because 131300331222321 - 214 = 131300331205937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131300331222521) 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 23 ways as a sum of consecutive naturals, for example, 102300666 + ... + 103576188.

It is an arithmetic number, because the mean of its divisors is an integer number (8013691266984).

Almost surely, 2131300331222321 is an apocalyptic number.

It is an amenable number.

131300331222321 is a deficient number, since it is larger than the sum of its proper divisors (61028259185295).

131300331222321 is a wasteful number, since it uses less digits than its factorization.

131300331222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436693 (or 1436690 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131300331222321 its reverse (123222133003131), we get a palindrome (254522464225452).

The spelling of 131300331222321 in words is "one hundred thirty-one trillion, three hundred billion, three hundred thirty-one million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 71 213 639 161093 483279 1275523 1449837 3826569 11437603 11479707 34312809 90562133 102938427 271686399 815059197 205477826639 616433479917 1849300439751 14588925691369 43766777074107 131300331222321