Search a number
-
+
330102112210217 is a prime number
BaseRepresentation
bin100101100001110011110001…
…1001000110100110100101001
31121021210110020202210002021222
41023003213203020310310221
5321231343111211211332
63130022452234311425
7126350043032505134
oct11303474310646451
91537713222702258
10330102112210217
11961a9579664456
1231034001588575
1311226659b28219
145b7305558b21b
152826aa7eec712
hex12c39e3234d29

330102112210217 has 2 divisors, whose sum is σ = 330102112210218. Its totient is φ = 330102112210216.

The previous prime is 330102112210201. The next prime is 330102112210267. The reversal of 330102112210217 is 712012211201033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250591559447056 + 79510552763161 = 15830084^2 + 8916869^2 .

It is a cyclic number.

It is not a de Polignac number, because 330102112210217 - 24 = 330102112210201 is a prime.

It is not a weakly prime, because it can be changed into another prime (330102112210267) 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, 165051056105108 + 165051056105109.

It is an arithmetic number, because the mean of its divisors is an integer number (165051056105109).

Almost surely, 2330102112210217 is an apocalyptic number.

It is an amenable number.

330102112210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

330102112210217 is an equidigital number, since it uses as much as digits as its factorization.

330102112210217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 330102112210217 in words is "three hundred thirty trillion, one hundred two billion, one hundred twelve million, two hundred ten thousand, two hundred seventeen".