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131131222100309 = 292891751943541
BaseRepresentation
bin11101110100001101011101…
…111010011000100101010101
3122012022000121022222002100002
4131310031131322120211111
5114141423220324202214
61142520503553301045
736422626633000514
oct3564153572304525
9565260538862302
10131131222100309
1138867491323302
121285a138b64785
13582280c987112
142454adc11467b
1510260560c71de
hex77435de98955

131131222100309 has 12 divisors (see below), whose sum is σ = 137334854257380. Its totient is φ = 125186877594240.

The previous prime is 131131222100297. The next prime is 131131222100339. The reversal of 131131222100309 is 903001222131131.

It can be written as a sum of positive squares in 6 ways, for example, as 656505062500 + 130474717037809 = 810250^2 + 11422553^2 .

It is not a de Polignac number, because 131131222100309 - 212 = 131131222096213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131222100339) 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, 875896922 + ... + 876046619.

It is an arithmetic number, because the mean of its divisors is an integer number (11444571188115).

Almost surely, 2131131222100309 is an apocalyptic number.

It is an amenable number.

131131222100309 is a deficient number, since it is larger than the sum of its proper divisors (6203632157071).

131131222100309 is an equidigital number, since it uses as much as digits as its factorization.

131131222100309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751943688 (or 1751943659 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 131131222100309 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, two hundred twenty-two million, one hundred thousand, three hundred nine".

Divisors: 1 29 89 841 2581 74849 1751943541 50806362689 155922975149 1473384517981 4521766279321 131131222100309