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3106379596561 is a prime number
BaseRepresentation
bin101101001101000010101…
…001110000001100010001
3101222222002221020200221221
4231031002221300030101
5401343331134042221
610335015011245041
7440266660623343
oct55150251601421
911888087220857
103106379596561
11a9845433212a
124220542a9781
13196c12c54a47
14aa4c7339293
1555c0da99541
hex2d342a70311

3106379596561 has 2 divisors, whose sum is σ = 3106379596562. Its totient is φ = 3106379596560.

The previous prime is 3106379596549. The next prime is 3106379596631. The reversal of 3106379596561 is 1656959736013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3103784203536 + 2595393025 = 1761756^2 + 50945^2 .

It is an emirp because it is prime and its reverse (1656959736013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3106379596561 - 227 = 3106245378833 is a prime.

It is a super-2 number, since 2×31063795965612 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3106379596561.

It is not a weakly prime, because it can be changed into another prime (3106379591561) 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, 1553189798280 + 1553189798281.

It is an arithmetic number, because the mean of its divisors is an integer number (1553189798281).

Almost surely, 23106379596561 is an apocalyptic number.

It is an amenable number.

3106379596561 is a deficient number, since it is larger than the sum of its proper divisors (1).

3106379596561 is an equidigital number, since it uses as much as digits as its factorization.

3106379596561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27556200, while the sum is 61.

The spelling of 3106379596561 in words is "three trillion, one hundred six billion, three hundred seventy-nine million, five hundred ninety-six thousand, five hundred sixty-one".