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131111022209 is a prime number
BaseRepresentation
bin111101000011011010…
…0110110111010000001
3110112102100112000120112
41322012310312322001
54122003410202314
6140122004121105
712321024205106
oct1720664667201
9415370460515
10131111022209
1150670832602
12214b0996195
13c49611441b
1464bac76aad
15362567543e
hex1e86d36e81

131111022209 has 2 divisors, whose sum is σ = 131111022210. Its totient is φ = 131111022208.

The previous prime is 131111022191. The next prime is 131111022253. The reversal of 131111022209 is 902220111131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104681367025 + 26429655184 = 323545^2 + 162572^2 .

It is a cyclic number.

It is not a de Polignac number, because 131111022209 - 220 = 131109973633 is a prime.

It is not a weakly prime, because it can be changed into another prime (131111022409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555511104 + 65555511105.

It is an arithmetic number, because the mean of its divisors is an integer number (65555511105).

Almost surely, 2131111022209 is an apocalyptic number.

It is an amenable number.

131111022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

131111022209 is an equidigital number, since it uses as much as digits as its factorization.

131111022209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 131111022209 in words is "one hundred thirty-one billion, one hundred eleven million, twenty-two thousand, two hundred nine".