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3312122031131 is a prime number
BaseRepresentation
bin110000001100101001110…
…110110110110000011011
3102201122011110221021210012
4300030221312312300123
5413231211214444011
611013322353512135
7461202320514164
oct60145166666033
912648143837705
103312122031131
1110677325a3421
12455ab2b7264b
131b0440b7b8a4
14b6443d4076b
155b25122aa8b
hex30329db6c1b

3312122031131 has 2 divisors, whose sum is σ = 3312122031132. Its totient is φ = 3312122031130.

The previous prime is 3312122031007. The next prime is 3312122031151. The reversal of 3312122031131 is 1311302212133.

3312122031131 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3312122031131 is a prime.

It is a super-2 number, since 2×33121220311312 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 3312122031097 and 3312122031106.

It is not a weakly prime, because it can be changed into another prime (3312122031151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656061015565 + 1656061015566.

It is an arithmetic number, because the mean of its divisors is an integer number (1656061015566).

Almost surely, 23312122031131 is an apocalyptic number.

3312122031131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3312122031131 is an equidigital number, since it uses as much as digits as its factorization.

3312122031131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3312122031131 its reverse (1311302212133), we get a palindrome (4623424243264).

The spelling of 3312122031131 in words is "three trillion, three hundred twelve billion, one hundred twenty-two million, thirty-one thousand, one hundred thirty-one".