Search a number
-
+
300331020137 is a prime number
BaseRepresentation
bin1000101111011010001…
…11111010111101101001
31001201012120210121000012
410113231013322331221
514410034220121022
6345545320021305
730461324356541
oct4275507727551
91051176717005
10300331020137
11106408038665
124a258301835
132242359ab05
14107710ac321
157c2b798de2
hex45ed1faf69

300331020137 has 2 divisors, whose sum is σ = 300331020138. Its totient is φ = 300331020136.

The previous prime is 300331020127. The next prime is 300331020151. The reversal of 300331020137 is 731020133003.

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., 158936971561 + 141394048576 = 398669^2 + 376024^2 .

It is a cyclic number.

It is not a de Polignac number, because 300331020137 - 210 = 300331019113 is a prime.

It is not a weakly prime, because it can be changed into another prime (300331020127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150165510068 + 150165510069.

It is an arithmetic number, because the mean of its divisors is an integer number (150165510069).

Almost surely, 2300331020137 is an apocalyptic number.

It is an amenable number.

300331020137 is a deficient number, since it is larger than the sum of its proper divisors (1).

300331020137 is an equidigital number, since it uses as much as digits as its factorization.

300331020137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 23.

The spelling of 300331020137 in words is "three hundred billion, three hundred thirty-one million, twenty thousand, one hundred thirty-seven".