Search a number
-
+
312332133022901 is a prime number
BaseRepresentation
bin100011100000100000111110…
…1110101110011110010110101
31111221212122211100220102002222
41013001001331311303302311
5311414222202023213101
63024135222345412125
7122534152263556445
oct10701017565636265
91457778740812088
10312332133022901
119057834a6782a2
122b04408749a045
1310537a41b99104
14571ad54da6125
15261971ee5401b
hex11c107dd73cb5

312332133022901 has 2 divisors, whose sum is σ = 312332133022902. Its totient is φ = 312332133022900.

The previous prime is 312332133022849. The next prime is 312332133022951. The reversal of 312332133022901 is 109220331233213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157295518146001 + 155036614876900 = 12541751^2 + 12451370^2 .

It is a cyclic number.

It is not a de Polignac number, because 312332133022901 - 26 = 312332133022837 is a prime.

It is a super-2 number, since 2×3123321330229012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312332133022951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156166066511450 + 156166066511451.

It is an arithmetic number, because the mean of its divisors is an integer number (156166066511451).

Almost surely, 2312332133022901 is an apocalyptic number.

It is an amenable number.

312332133022901 is a deficient number, since it is larger than the sum of its proper divisors (1).

312332133022901 is an equidigital number, since it uses as much as digits as its factorization.

312332133022901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 312332133022901 in words is "three hundred twelve trillion, three hundred thirty-two billion, one hundred thirty-three million, twenty-two thousand, nine hundred one".