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131958758167 is a prime number
BaseRepresentation
bin111101011100101011…
…0101101101100010111
3110121121102200110200121
41322321112231230113
54130222420230132
6140342050052411
712351026636365
oct1727126555427
9417542613617
10131958758167
1150a66308135
12216a887a107
13c59c93c032
14655b6aa635
153674ccb497
hex1eb95adb17

131958758167 has 2 divisors, whose sum is σ = 131958758168. Its totient is φ = 131958758166.

The previous prime is 131958758137. The next prime is 131958758179. The reversal of 131958758167 is 761857859131.

It is a strong prime.

It is an emirp because it is prime and its reverse (761857859131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131958758167 - 219 = 131958233879 is a prime.

It is a super-2 number, since 2×1319587581672 (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 (131958758137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65979379083 + 65979379084.

It is an arithmetic number, because the mean of its divisors is an integer number (65979379084).

Almost surely, 2131958758167 is an apocalyptic number.

131958758167 is a deficient number, since it is larger than the sum of its proper divisors (1).

131958758167 is an equidigital number, since it uses as much as digits as its factorization.

131958758167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12700800, while the sum is 61.

The spelling of 131958758167 in words is "one hundred thirty-one billion, nine hundred fifty-eight million, seven hundred fifty-eight thousand, one hundred sixty-seven".