Search a number
-
+
201413330369 is a prime number
BaseRepresentation
bin1011101110010100101…
…0111000010111000001
3201020212211201022021122
42323211022320113001
511244443303032434
6232310014402025
720360132026466
oct2734512702701
9636784638248
10201413330369
1178467635229
1233050b00315
1315cbb087334
149a69aa366d
15538c59dc2e
hex2ee52b85c1

201413330369 has 2 divisors, whose sum is σ = 201413330370. Its totient is φ = 201413330368.

The previous prime is 201413330359. The next prime is 201413330407. The reversal of 201413330369 is 963033314102.

201413330369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167956530625 + 33456799744 = 409825^2 + 182912^2 .

It is a cyclic number.

It is not a de Polignac number, because 201413330369 - 24 = 201413330353 is a prime.

It is a super-2 number, since 2×2014133303692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201413330359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100706665184 + 100706665185.

It is an arithmetic number, because the mean of its divisors is an integer number (100706665185).

Almost surely, 2201413330369 is an apocalyptic number.

It is an amenable number.

201413330369 is a deficient number, since it is larger than the sum of its proper divisors (1).

201413330369 is an equidigital number, since it uses as much as digits as its factorization.

201413330369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 201413330369 in words is "two hundred one billion, four hundred thirteen million, three hundred thirty thousand, three hundred sixty-nine".