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3101311122193 is a prime number
BaseRepresentation
bin101101001000010100100…
…011000011101100010001
3101222111000201000112020001
4231020110203003230101
5401302441121402233
610332420032250001
7440030244405214
oct55102443035421
911874021015201
103101311122193
11a96293306339
1242107a9a0901
131965b5b6cb9b
14aa16613177b
1555a13b1927d
hex2d2148c3b11

3101311122193 has 2 divisors, whose sum is σ = 3101311122194. Its totient is φ = 3101311122192.

The previous prime is 3101311122181. The next prime is 3101311122223. The reversal of 3101311122193 is 3912211131013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2126210171409 + 975100950784 = 1458153^2 + 987472^2 .

It is a cyclic number.

It is not a de Polignac number, because 3101311122193 - 221 = 3101309025041 is a prime.

It is not a weakly prime, because it can be changed into another prime (3101311122103) 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, 1550655561096 + 1550655561097.

It is an arithmetic number, because the mean of its divisors is an integer number (1550655561097).

Almost surely, 23101311122193 is an apocalyptic number.

It is an amenable number.

3101311122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101311122193 is an equidigital number, since it uses as much as digits as its factorization.

3101311122193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 3101311122193 in words is "three trillion, one hundred one billion, three hundred eleven million, one hundred twenty-two thousand, one hundred ninety-three".