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131123311169 is a prime number
BaseRepresentation
bin111101000011110001…
…1101111001001000001
3110112110012122100212012
41322013203233021001
54122020031424134
6140123123342305
712321233520014
oct1720743571101
9415405570765
10131123311169
1150677766474
12214b4b21995
13c498827ab6
1464bc75537b
1536267a16ce
hex1e878ef241

131123311169 has 2 divisors, whose sum is σ = 131123311170. Its totient is φ = 131123311168.

The previous prime is 131123311127. The next prime is 131123311183. The reversal of 131123311169 is 961113321131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120742350400 + 10380960769 = 347480^2 + 101887^2 .

It is a cyclic number.

It is not a de Polignac number, because 131123311169 - 224 = 131106533953 is a prime.

It is a super-3 number, since 3×1311233111693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (131123311199) 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, 65561655584 + 65561655585.

It is an arithmetic number, because the mean of its divisors is an integer number (65561655585).

Almost surely, 2131123311169 is an apocalyptic number.

It is an amenable number.

131123311169 is a deficient number, since it is larger than the sum of its proper divisors (1).

131123311169 is an equidigital number, since it uses as much as digits as its factorization.

131123311169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 32.

The spelling of 131123311169 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred eleven thousand, one hundred sixty-nine".