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312349148129 is a prime number
BaseRepresentation
bin1001000101110010111…
…01011100001111100001
31002212020011000202021202
410202321131130033201
520104142340220004
6355254034130545
731365205644554
oct4427135341741
91085204022252
10312349148129
11110514a51047
1250651120a55
13235ba40b955
141119128869b
1581d18eab1e
hex48b975c3e1

312349148129 has 2 divisors, whose sum is σ = 312349148130. Its totient is φ = 312349148128.

The previous prime is 312349148053. The next prime is 312349148141. The reversal of 312349148129 is 921841943213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311756955904 + 592192225 = 558352^2 + 24335^2 .

It is an emirp because it is prime and its reverse (921841943213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312349148129 is a prime.

It is not a weakly prime, because it can be changed into another prime (312349148029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156174574064 + 156174574065.

It is an arithmetic number, because the mean of its divisors is an integer number (156174574065).

Almost surely, 2312349148129 is an apocalyptic number.

It is an amenable number.

312349148129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312349148129 is an equidigital number, since it uses as much as digits as its factorization.

312349148129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 373248, while the sum is 47.

The spelling of 312349148129 in words is "three hundred twelve billion, three hundred forty-nine million, one hundred forty-eight thousand, one hundred twenty-nine".