Search a number
-
+
330312100313021 is a prime number
BaseRepresentation
bin100101100011010101100011…
…1011001110111011110111101
31121022112112021012102222000212
41023012223013121313132331
5321243313140140004041
63130303141204202205
7126401155525103321
oct11306530731673675
91538475235388025
10330312100313021
119627a636454072
1231068846099365
13112403b352a5a8
145b7d295db5981
15282c29827e8eb
hex12c6ac76777bd

330312100313021 has 2 divisors, whose sum is σ = 330312100313022. Its totient is φ = 330312100313020.

The previous prime is 330312100312867. The next prime is 330312100313183. The reversal of 330312100313021 is 120313001213033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307666018048921 + 22646082264100 = 17540411^2 + 4758790^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330312100313021 is a prime.

It is a super-2 number, since 2×3303121003130212 (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 (330312100312021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156050156510 + 165156050156511.

It is an arithmetic number, because the mean of its divisors is an integer number (165156050156511).

Almost surely, 2330312100313021 is an apocalyptic number.

It is an amenable number.

330312100313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

330312100313021 is an equidigital number, since it uses as much as digits as its factorization.

330312100313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 330312100313021 its reverse (120313001213033), we get a palindrome (450625101526054).

The spelling of 330312100313021 in words is "three hundred thirty trillion, three hundred twelve billion, one hundred million, three hundred thirteen thousand, twenty-one".