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34131129941 is a prime number
BaseRepresentation
bin11111110010010111…
…111011011001010101
310021002122202001021202
4133302113323121111
51024400032124231
623402444322245
72315541550316
oct376227733125
9107078661252
1034131129941
1113525151107
126746543385
1332ac20969c
14191ad7460d
15d4b6525cb
hex7f25fb655

34131129941 has 2 divisors, whose sum is σ = 34131129942. Its totient is φ = 34131129940.

The previous prime is 34131129937. The next prime is 34131130013. The reversal of 34131129941 is 14992113143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19468341841 + 14662788100 = 139529^2 + 121090^2 .

It is a cyclic number.

It is not a de Polignac number, because 34131129941 - 22 = 34131129937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34131129895 and 34131129904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34130129941) 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, 17065564970 + 17065564971.

It is an arithmetic number, because the mean of its divisors is an integer number (17065564971).

Almost surely, 234131129941 is an apocalyptic number.

It is an amenable number.

34131129941 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131129941 is an equidigital number, since it uses as much as digits as its factorization.

34131129941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 38.

The spelling of 34131129941 in words is "thirty-four billion, one hundred thirty-one million, one hundred twenty-nine thousand, nine hundred forty-one".