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3131131369 is a prime number
BaseRepresentation
bin1011101010100001…
…0100010111101001
322002012202221202111
42322220110113221
522403032200434
61234411002321
7140410114612
oct27250242751
98065687674
103131131369
111367495383
127347393a1
133ab907c72
14219bbcc09
15134d47964
hexbaa145e9

3131131369 has 2 divisors, whose sum is σ = 3131131370. Its totient is φ = 3131131368.

The previous prime is 3131131313. The next prime is 3131131373. The reversal of 3131131369 is 9631311313.

3131131369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2957945769 + 173185600 = 54387^2 + 13160^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131131369 - 211 = 3131129321 is a prime.

It is a super-2 number, since 2×31311313692 = 19607967299871628322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3131131369.

It is not a weakly prime, because it can be changed into another prime (3131131379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565565684 + 1565565685.

It is an arithmetic number, because the mean of its divisors is an integer number (1565565685).

Almost surely, 23131131369 is an apocalyptic number.

It is an amenable number.

3131131369 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131131369 is an equidigital number, since it uses as much as digits as its factorization.

3131131369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 31.

The square root of 3131131369 is about 55956.5131955164. The cubic root of 3131131369 is about 1462.9644167965.

The spelling of 3131131369 in words is "three billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred sixty-nine".