Search a number
-
+
330332130112297 is a prime number
BaseRepresentation
bin100101100011011110111000…
…1010001011111001100101001
31121022121102222010001012012111
41023012331301101133030221
5321244130200302043142
63130320252520242321
7126402465061431505
oct11306756121371451
91538542863035174
10330332130112297
1196288084786795
12310706b60103a1
1311242256139a21
145b80236217305
15282ca6b934e17
hex12c6f7145f329

330332130112297 has 2 divisors, whose sum is σ = 330332130112298. Its totient is φ = 330332130112296.

The previous prime is 330332130112273. The next prime is 330332130112319. The reversal of 330332130112297 is 792211031233033.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309848323095081 + 20483807017216 = 17602509^2 + 4525904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330332130112297 is a prime.

It is not a weakly prime, because it can be changed into another prime (330332130112267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165166065056148 + 165166065056149.

It is an arithmetic number, because the mean of its divisors is an integer number (165166065056149).

Almost surely, 2330332130112297 is an apocalyptic number.

It is an amenable number.

330332130112297 is a deficient number, since it is larger than the sum of its proper divisors (1).

330332130112297 is an equidigital number, since it uses as much as digits as its factorization.

330332130112297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 40.

The spelling of 330332130112297 in words is "three hundred thirty trillion, three hundred thirty-two billion, one hundred thirty million, one hundred twelve thousand, two hundred ninety-seven".