Search a number
-
+
330031000111181 is a prime number
BaseRepresentation
bin100101100001010010101010…
…0100001101100100001001101
31121021112122200211211011100012
41023002211110201230201031
5321224211442012024211
63125530052015243005
7126341644562601215
oct11302452441544115
91537478624734305
10330031000111181
11961813a7743976
1231022276219465
131121ca36184b05
145b6d82ada7245
152824ce4e65d8b
hex12c295486c84d

330031000111181 has 2 divisors, whose sum is σ = 330031000111182. Its totient is φ = 330031000111180.

The previous prime is 330031000111177. The next prime is 330031000111261. The reversal of 330031000111181 is 181111000130033.

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., 324609045948100 + 5421954163081 = 18016910^2 + 2328509^2 .

It is a cyclic number.

It is not a de Polignac number, because 330031000111181 - 22 = 330031000111177 is a prime.

It is a super-2 number, since 2×3300310001111812 (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 (330031000110181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015500055590 + 165015500055591.

It is an arithmetic number, because the mean of its divisors is an integer number (165015500055591).

Almost surely, 2330031000111181 is an apocalyptic number.

It is an amenable number.

330031000111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031000111181 is an equidigital number, since it uses as much as digits as its factorization.

330031000111181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 330031000111181 in words is "three hundred thirty trillion, thirty-one billion, one hundred eleven thousand, one hundred eighty-one".