Search a number
-
+
312426550301 is a prime number
BaseRepresentation
bin1001000101111100001…
…00101101010000011101
31002212102112200012002212
410202332010231100131
520104322144102201
6355305441130205
731400135601065
oct4427604552035
91085375605085
10312426550301
11110554708488
1250673029965
132360046c758
141119b6763a5
1581d85d9abb
hex48be12d41d

312426550301 has 2 divisors, whose sum is σ = 312426550302. Its totient is φ = 312426550300.

The previous prime is 312426550231. The next prime is 312426550351. The reversal of 312426550301 is 103055624213.

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., 190991724676 + 121434825625 = 437026^2 + 348475^2 .

It is an emirp because it is prime and its reverse (103055624213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312426550301 - 230 = 311352808477 is a prime.

It is a super-2 number, since 2×3124265503012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312426550351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156213275150 + 156213275151.

It is an arithmetic number, because the mean of its divisors is an integer number (156213275151).

Almost surely, 2312426550301 is an apocalyptic number.

It is an amenable number.

312426550301 is a deficient number, since it is larger than the sum of its proper divisors (1).

312426550301 is an equidigital number, since it uses as much as digits as its factorization.

312426550301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 312426550301 in words is "three hundred twelve billion, four hundred twenty-six million, five hundred fifty thousand, three hundred one".