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3131133149 is a prime number
BaseRepresentation
bin1011101010100001…
…0100110011011101
322002012210001012102
42322220110303131
522403032230044
61234411014445
7140410123034
oct27250246335
98065701172
103131133149
111367496751
1273473a425
133ab908a11
14219bbd71b
15134d4824e
hexbaa14cdd

3131133149 has 2 divisors, whose sum is σ = 3131133150. Its totient is φ = 3131133148.

The previous prime is 3131133113. The next prime is 3131133199. The reversal of 3131133149 is 9413311313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1997464249 + 1133668900 = 44693^2 + 33670^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131133149 - 228 = 2862697693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131133199) 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, 1565566574 + 1565566575.

It is an arithmetic number, because the mean of its divisors is an integer number (1565566575).

Almost surely, 23131133149 is an apocalyptic number.

It is an amenable number.

3131133149 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131133149 is an equidigital number, since it uses as much as digits as its factorization.

3131133149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 29.

The square root of 3131133149 is about 55956.5291007225. The cubic root of 3131133149 is about 1462.9646940207.

The spelling of 3131133149 in words is "three billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred forty-nine".