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3131011141 is a prime number
BaseRepresentation
bin1011101010011111…
…0111000001000101
322002012112211211121
42322213313001011
522403014324031
61234404233541
7140406104236
oct27247670105
98065484747
103131011141
111367413015
1273469b8b1
133ab89531b
14219b8b08d
15134d22011
hexba9f7045

3131011141 has 2 divisors, whose sum is σ = 3131011142. Its totient is φ = 3131011140.

The previous prime is 3131011139. The next prime is 3131011153. The reversal of 3131011141 is 1411101313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1838608641 + 1292402500 = 42879^2 + 35950^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131011141 - 21 = 3131011139 is a prime.

It is a super-2 number, since 2×31310111412 = 19606461530132243762, which contains 22 as substring.

Together with 3131011139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131011171) 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, 1565505570 + 1565505571.

It is an arithmetic number, because the mean of its divisors is an integer number (1565505571).

Almost surely, 23131011141 is an apocalyptic number.

It is an amenable number.

3131011141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131011141 is an equidigital number, since it uses as much as digits as its factorization.

3131011141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 3131011141 is about 55955.4388866712. The cubic root of 3131011141 is about 1462.9456917717.

Adding to 3131011141 its reverse (1411101313), we get a palindrome (4542112454).

The spelling of 3131011141 in words is "three billion, one hundred thirty-one million, eleven thousand, one hundred forty-one".