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31121300129 is a prime number
BaseRepresentation
bin11100111110111110…
…010101101010100001
32222022220012211222112
4130332332111222201
51002214023101004
622144045245105
72151133454303
oct347676255241
988286184875
1031121300129
1112220187457
126046563795
132c1c792bba
14171332d973
15c222bae6e
hex73ef95aa1

31121300129 has 2 divisors, whose sum is σ = 31121300130. Its totient is φ = 31121300128.

The previous prime is 31121300107. The next prime is 31121300131. The reversal of 31121300129 is 92100312113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31083453025 + 37847104 = 176305^2 + 6152^2 .

It is a cyclic number.

It is not a de Polignac number, because 31121300129 - 224 = 31104522913 is a prime.

Together with 31121300131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31121300929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15560650064 + 15560650065.

It is an arithmetic number, because the mean of its divisors is an integer number (15560650065).

Almost surely, 231121300129 is an apocalyptic number.

It is an amenable number.

31121300129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31121300129 is an equidigital number, since it uses as much as digits as its factorization.

31121300129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 31121300129 in words is "thirty-one billion, one hundred twenty-one million, three hundred thousand, one hundred twenty-nine".