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331413434129 is a prime number
BaseRepresentation
bin1001101001010011100…
…01111010111100010001
31011200102202211211020102
410310221301322330101
520412213314343004
6412125500022145
732641506465401
oct4645161727421
91150382754212
10331413434129
11118608275308
1254291831955
1325337c9715b
141207d198801
15894a43311e
hex4d29c7af11

331413434129 has 2 divisors, whose sum is σ = 331413434130. Its totient is φ = 331413434128.

The previous prime is 331413434087. The next prime is 331413434257. The reversal of 331413434129 is 921434314133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328761184129 + 2652250000 = 573377^2 + 51500^2 .

It is a cyclic number.

It is not a de Polignac number, because 331413434129 - 28 = 331413433873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331413434092 and 331413434101.

It is not a weakly prime, because it can be changed into another prime (331413434629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165706717064 + 165706717065.

It is an arithmetic number, because the mean of its divisors is an integer number (165706717065).

Almost surely, 2331413434129 is an apocalyptic number.

It is an amenable number.

331413434129 is a deficient number, since it is larger than the sum of its proper divisors (1).

331413434129 is an equidigital number, since it uses as much as digits as its factorization.

331413434129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 93312, while the sum is 38.

The spelling of 331413434129 in words is "three hundred thirty-one billion, four hundred thirteen million, four hundred thirty-four thousand, one hundred twenty-nine".