Search a number
-
+
2711073326131 is a prime number
BaseRepresentation
bin100111011100111000100…
…100000000010000110011
3100121011202100202111111001
4213130320210000100303
5323404234232414011
65433241102102431
7366603632023162
oct47347044002063
910534670674431
102711073326131
1195583a240285
12379510b7aa17
13168864b903a1
14953066b13d9
154a7c42aa7c1
hex27738900433

2711073326131 has 2 divisors, whose sum is σ = 2711073326132. Its totient is φ = 2711073326130.

The previous prime is 2711073326081. The next prime is 2711073326173. The reversal of 2711073326131 is 1316233701172.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2711073326131 is a prime.

It is a super-3 number, since 3×27110733261313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2711073396131) 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, 1355536663065 + 1355536663066.

It is an arithmetic number, because the mean of its divisors is an integer number (1355536663066).

Almost surely, 22711073326131 is an apocalyptic number.

2711073326131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2711073326131 is an equidigital number, since it uses as much as digits as its factorization.

2711073326131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 2711073326131 in words is "two trillion, seven hundred eleven billion, seventy-three million, three hundred twenty-six thousand, one hundred thirty-one".