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12220201313 is a prime number
BaseRepresentation
bin10110110000110000…
…10111100101100001
31011112122110112202122
423120120113211201
5200011332420223
65340333154025
7611553666035
oct133030274541
934478415678
1012220201313
115200a92131
12245062b915
1311c9972a68
1483cd7c1c5
154b7c6a5c8
hex2d8617961

12220201313 has 2 divisors, whose sum is σ = 12220201314. Its totient is φ = 12220201312.

The previous prime is 12220201283. The next prime is 12220201339. The reversal of 12220201313 is 31310202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12113863969 + 106337344 = 110063^2 + 10312^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220201313 - 28 = 12220201057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12220201291 and 12220201300.

It is not a weakly prime, because it can be changed into another prime (12220201013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110100656 + 6110100657.

It is an arithmetic number, because the mean of its divisors is an integer number (6110100657).

Almost surely, 212220201313 is an apocalyptic number.

It is an amenable number.

12220201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220201313 is an equidigital number, since it uses as much as digits as its factorization.

12220201313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12220201313 its reverse (31310202221), we get a palindrome (43530403534).

The spelling of 12220201313 in words is "twelve billion, two hundred twenty million, two hundred one thousand, three hundred thirteen".