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131102223181 is a prime number
BaseRepresentation
bin111101000011001001…
…1010010101101001101
3110112101201221222120121
41322012103102231031
54121444132120211
6140121051344541
712320556340006
oct1720623225515
9415351858517
10131102223181
1150666872786
12214a9a52151
13c4943533b7
1464b9a261ad
1536249d8271
hex1e864d2b4d

131102223181 has 2 divisors, whose sum is σ = 131102223182. Its totient is φ = 131102223180.

The previous prime is 131102223089. The next prime is 131102223191. The reversal of 131102223181 is 181322201131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130964372100 + 137851081 = 361890^2 + 11741^2 .

It is a cyclic number.

It is not a de Polignac number, because 131102223181 - 27 = 131102223053 is a prime.

It is a super-2 number, since 2×1311022231812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131102223191) 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, 65551111590 + 65551111591.

It is an arithmetic number, because the mean of its divisors is an integer number (65551111591).

Almost surely, 2131102223181 is an apocalyptic number.

It is an amenable number.

131102223181 is a deficient number, since it is larger than the sum of its proper divisors (1).

131102223181 is an equidigital number, since it uses as much as digits as its factorization.

131102223181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 131102223181 in words is "one hundred thirty-one billion, one hundred two million, two hundred twenty-three thousand, one hundred eighty-one".