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31341412129 is a prime number
BaseRepresentation
bin11101001100000101…
…111111111100100001
32222220020101200212211
4131030011333330201
51003141400142004
622221551122121
72156445415246
oct351405777441
988806350784
1031341412129
11123234568a5
1260a8213341
132c5626c5a1
1417346695cd
15c36799504
hex74c17ff21

31341412129 has 2 divisors, whose sum is σ = 31341412130. Its totient is φ = 31341412128.

The previous prime is 31341412099. The next prime is 31341412163. The reversal of 31341412129 is 92121414313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23762839104 + 7578573025 = 154152^2 + 87055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31341412129 is a prime.

It is a super-2 number, since 2×313414121292 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31341412129.

It is not a weakly prime, because it can be changed into another prime (31341412169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15670706064 + 15670706065.

It is an arithmetic number, because the mean of its divisors is an integer number (15670706065).

Almost surely, 231341412129 is an apocalyptic number.

It is an amenable number.

31341412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31341412129 is an equidigital number, since it uses as much as digits as its factorization.

31341412129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 31.

The spelling of 31341412129 in words is "thirty-one billion, three hundred forty-one million, four hundred twelve thousand, one hundred twenty-nine".