Search a number
-
+
318339112901 is a prime number
BaseRepresentation
bin1001010000111100111…
…11010101111111000101
31010102200121012111012212
410220132133111333011
520203424303103101
6402124251553205
731666511545655
oct4503637257705
91112617174185
10318339112901
11113009148257
125184315b805
13240333a2ac4
141159ca04365
1584327001bb
hex4a1e7d5fc5

318339112901 has 2 divisors, whose sum is σ = 318339112902. Its totient is φ = 318339112900.

The previous prime is 318339112843. The next prime is 318339112913. The reversal of 318339112901 is 109211933813.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268888917025 + 49450195876 = 518545^2 + 222374^2 .

It is a cyclic number.

It is not a de Polignac number, because 318339112901 - 210 = 318339111877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (318339112801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159169556450 + 159169556451.

It is an arithmetic number, because the mean of its divisors is an integer number (159169556451).

Almost surely, 2318339112901 is an apocalyptic number.

It is an amenable number.

318339112901 is a deficient number, since it is larger than the sum of its proper divisors (1).

318339112901 is an equidigital number, since it uses as much as digits as its factorization.

318339112901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 318339112901 in words is "three hundred eighteen billion, three hundred thirty-nine million, one hundred twelve thousand, nine hundred one".