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12022322131313 = 132174184588281
BaseRepresentation
bin1010111011110010101000…
…1111010111000101110001
31120120022201022002212100122
42232330222033113011301
53033433203431200223
641322551210500025
72350404231004364
oct256745217270561
946508638085318
1012022322131313
11391570247050a
12142200b434615
136929141bac00
142d7c524540db
1515cadc9805c8
hexaef2a3d7171

12022322131313 has 12 divisors (see below), whose sum is σ = 13784033800908. Its totient is φ = 10444732346880.

The previous prime is 12022322131297. The next prime is 12022322131331. The reversal of 12022322131313 is 31313122322021.

It can be written as a sum of positive squares in 6 ways, for example, as 3172363518769 + 8849958612544 = 1781113^2 + 2974888^2 .

It is not a de Polignac number, because 12022322131313 - 24 = 12022322131297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12022322131013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2092291268 + ... + 2092297013.

It is an arithmetic number, because the mean of its divisors is an integer number (1148669483409).

Almost surely, 212022322131313 is an apocalyptic number.

12022322131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12022322131313 is a deficient number, since it is larger than the sum of its proper divisors (1761711669595).

12022322131313 is a wasteful number, since it uses less digits than its factorization.

12022322131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184588324 (or 4184588311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12022322131313 its reverse (31313122322021), we get a palindrome (43335444453334).

The spelling of 12022322131313 in words is "twelve trillion, twenty-two billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 13 17 169 221 2873 4184588281 54399647653 71138000777 707195419489 924794010101 12022322131313