Search a number
-
+
3144013310197 is a prime number
BaseRepresentation
bin101101110000000101110…
…010111110100011110101
3102010120020200201102210201
4231300011302332203311
5403002414401411242
610404201220320501
7443101403124154
oct55600562764365
912116220642721
103144013310197
111002406605201
124293b7843131
1319a62c9c3a56
14ac25754159b
1556bb29694b7
hex2dc05cbe8f5

3144013310197 has 2 divisors, whose sum is σ = 3144013310198. Its totient is φ = 3144013310196.

The previous prime is 3144013310177. The next prime is 3144013310201. The reversal of 3144013310197 is 7910133104413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2577055513041 + 566957797156 = 1605321^2 + 752966^2 .

It is a cyclic number.

It is not a de Polignac number, because 3144013310197 - 27 = 3144013310069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3144013310177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1572006655098 + 1572006655099.

It is an arithmetic number, because the mean of its divisors is an integer number (1572006655099).

Almost surely, 23144013310197 is an apocalyptic number.

It is an amenable number.

3144013310197 is a deficient number, since it is larger than the sum of its proper divisors (1).

3144013310197 is an equidigital number, since it uses as much as digits as its factorization.

3144013310197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 3144013310197 in words is "three trillion, one hundred forty-four billion, thirteen million, three hundred ten thousand, one hundred ninety-seven".