Search a number
-
+
31331330300057 is a prime number
BaseRepresentation
bin1110001111110111001001…
…10100000001100010011001
311002221020122021112100200212
413013323210310001202121
513101313031024100212
6150345225303540505
76412420400255354
oct707734464014231
9132836567470625
1031331330300057
119a8a5a716a407
12362027b15a735
1314636bb3b5178
147a463190b29b
15394eee500e22
hex1c7ee4d01899

31331330300057 has 2 divisors, whose sum is σ = 31331330300058. Its totient is φ = 31331330300056.

The previous prime is 31331330299991. The next prime is 31331330300077. The reversal of 31331330300057 is 75000303313313.

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., 19087846433296 + 12243483866761 = 4368964^2 + 3499069^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331330300057 - 222 = 31331326105753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31331330299996 and 31331330300032.

It is not a weakly prime, because it can be changed into another prime (31331330300077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665665150028 + 15665665150029.

It is an arithmetic number, because the mean of its divisors is an integer number (15665665150029).

Almost surely, 231331330300057 is an apocalyptic number.

It is an amenable number.

31331330300057 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331330300057 is an equidigital number, since it uses as much as digits as its factorization.

31331330300057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25515, while the sum is 32.

The spelling of 31331330300057 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred thirty million, three hundred thousand, fifty-seven".