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31321103129 is a prime number
BaseRepresentation
bin11101001010111000…
…100001101100011001
32222211211011220011122
4131022320201230121
51003121200300004
622215543535025
72156110661321
oct351270415431
988754156148
1031321103129
1112312a453a8
1260a145a475
132c51cab624
141731aa0281
15c34ad6cbe
hex74ae21b19

31321103129 has 2 divisors, whose sum is σ = 31321103130. Its totient is φ = 31321103128.

The previous prime is 31321103119. The next prime is 31321103201. The reversal of 31321103129 is 92130112313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29090713600 + 2230389529 = 170560^2 + 47227^2 .

It is an emirp because it is prime and its reverse (92130112313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31321103129 - 216 = 31321037593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31321103098 and 31321103107.

It is not a weakly prime, because it can be changed into another prime (31321103119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15660551564 + 15660551565.

It is an arithmetic number, because the mean of its divisors is an integer number (15660551565).

Almost surely, 231321103129 is an apocalyptic number.

It is an amenable number.

31321103129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321103129 is an equidigital number, since it uses as much as digits as its factorization.

31321103129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 31321103129 in words is "thirty-one billion, three hundred twenty-one million, one hundred three thousand, one hundred twenty-nine".