Search a number
-
+
31132311322997 is a prime number
BaseRepresentation
bin1110001010000100011100…
…10110111000000101110101
311002020012221022012210200102
413011002032112320011311
513040032433144313442
6150113553020323445
76362143461003503
oct705021626700565
9132205838183612
1031132311322997
119a13159140275
1235a97980a3585
13144a9c23ba551
14798b51c37673
1538ec52260232
hex1c508e5b8175

31132311322997 has 2 divisors, whose sum is σ = 31132311322998. Its totient is φ = 31132311322996.

The previous prime is 31132311322993. The next prime is 31132311323033. The reversal of 31132311322997 is 79922311323113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29214900616561 + 1917410706436 = 5405081^2 + 1384706^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132311322997 - 22 = 31132311322993 is a prime.

It is a super-2 number, since 2×311323113229972 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31132311322993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566155661498 + 15566155661499.

It is an arithmetic number, because the mean of its divisors is an integer number (15566155661499).

Almost surely, 231132311322997 is an apocalyptic number.

It is an amenable number.

31132311322997 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132311322997 is an equidigital number, since it uses as much as digits as its factorization.

31132311322997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 367416, while the sum is 47.

The spelling of 31132311322997 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred eleven million, three hundred twenty-two thousand, nine hundred ninety-seven".