Search a number
-
+
2131949291377 is a prime number
BaseRepresentation
bin11111000001100010000…
…101001000011101110001
321112210221012201100122211
4133001202011020131301
5234412213004311002
64311223132132121
7310012455655453
oct37014205103561
97483835640584
102131949291377
11752177882424
122a5229607041
1312607123a449
1475288bb42d3
153a6cc038dd7
hex1f062148771

2131949291377 has 2 divisors, whose sum is σ = 2131949291378. Its totient is φ = 2131949291376.

The previous prime is 2131949291317. The next prime is 2131949291383. The reversal of 2131949291377 is 7731929491312.

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., 1927207521121 + 204741770256 = 1388239^2 + 452484^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131949291377 - 27 = 2131949291249 is a prime.

It is a super-2 number, since 2×21319492913772 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2131949291317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065974645688 + 1065974645689.

It is an arithmetic number, because the mean of its divisors is an integer number (1065974645689).

Almost surely, 22131949291377 is an apocalyptic number.

It is an amenable number.

2131949291377 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131949291377 is an equidigital number, since it uses as much as digits as its factorization.

2131949291377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5143824, while the sum is 58.

The spelling of 2131949291377 in words is "two trillion, one hundred thirty-one billion, nine hundred forty-nine million, two hundred ninety-one thousand, three hundred seventy-seven".