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31271304193 is a prime number
BaseRepresentation
bin11101000111111010…
…100011110000000001
32222201100110211212121
4131013322203300001
51003020423213233
622211004324241
72154634462033
oct350772436001
988640424777
1031271304193
1112297921758
126088843681
132c448938bc
141729219c53
15c3054b92d
hex747ea3c01

31271304193 has 2 divisors, whose sum is σ = 31271304194. Its totient is φ = 31271304192.

The previous prime is 31271304179. The next prime is 31271304221. The reversal of 31271304193 is 39140317213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26602588609 + 4668715584 = 163103^2 + 68328^2 .

It is a cyclic number.

It is not a de Polignac number, because 31271304193 - 29 = 31271303681 is a prime.

It is a super-2 number, since 2×312713041932 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31271304593) 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, 15635652096 + 15635652097.

It is an arithmetic number, because the mean of its divisors is an integer number (15635652097).

Almost surely, 231271304193 is an apocalyptic number.

It is an amenable number.

31271304193 is a deficient number, since it is larger than the sum of its proper divisors (1).

31271304193 is an equidigital number, since it uses as much as digits as its factorization.

31271304193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 31271304193 in words is "thirty-one billion, two hundred seventy-one million, three hundred four thousand, one hundred ninety-three".