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131819999957 is a prime number
BaseRepresentation
bin111101011000100010…
…1011001001011010101
3110121020202120211012122
41322301011121023111
54124431404444312
6140320212025325
712344423340452
oct1726105311325
9417222524178
10131819999957
11509a4a54028
122166a302245
13c579c77c99
1465470aa829
153667a1cb72
hex1eb11592d5

131819999957 has 2 divisors, whose sum is σ = 131819999958. Its totient is φ = 131819999956.

The previous prime is 131819999951. The next prime is 131820000007. The reversal of 131819999957 is 759999918131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122304777841 + 9515222116 = 349721^2 + 97546^2 .

It is a cyclic number.

It is not a de Polignac number, because 131819999957 - 26 = 131819999893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131819999951) 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, 65909999978 + 65909999979.

It is an arithmetic number, because the mean of its divisors is an integer number (65909999979).

Almost surely, 2131819999957 is an apocalyptic number.

It is an amenable number.

131819999957 is a deficient number, since it is larger than the sum of its proper divisors (1).

131819999957 is an equidigital number, since it uses as much as digits as its factorization.

131819999957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49601160, while the sum is 71.

The spelling of 131819999957 in words is "one hundred thirty-one billion, eight hundred nineteen million, nine hundred ninety-nine thousand, nine hundred fifty-seven".