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131022212300301 = 376239152966681
BaseRepresentation
bin11101110010100111111100…
…011010111111111000001101
3122011220121020020210110222210
4131302213330122333320031
5114133131442322102201
61142354435015101033
736412020363663510
oct3562477432777015
9564817206713883
10131022212300301
11388252321130a3
1212840b95971779
13581545967588a
14244d71a64ad77
1510232c5dc71d6
hex7729fc6bfe0d

131022212300301 has 8 divisors (see below), whose sum is σ = 199652894933824. Its totient is φ = 74869835600160.

The previous prime is 131022212300257. The next prime is 131022212300311. The reversal of 131022212300301 is 103003212220131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131022212300301 - 215 = 131022212267533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6239152966681 = 131022212300301 / (1 + 3 + 1 + 0 + 2 + 2 + 2 + 1 + 2 + 3 + 0 + 0 + 3 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022212300311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3119576483320 + ... + 3119576483361.

It is an arithmetic number, because the mean of its divisors is an integer number (24956611866728).

Almost surely, 2131022212300301 is an apocalyptic number.

It is an amenable number.

131022212300301 is a deficient number, since it is larger than the sum of its proper divisors (68630682633523).

131022212300301 is an equidigital number, since it uses as much as digits as its factorization.

131022212300301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239152966691.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131022212300301 its reverse (103003212220131), we get a palindrome (234025424520432).

The spelling of 131022212300301 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred twelve million, three hundred thousand, three hundred one".

Divisors: 1 3 7 21 6239152966681 18717458900043 43674070766767 131022212300301