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12130202313 = 3241101325477
BaseRepresentation
bin10110100110000010…
…00011001011001001
31011022101010010100100
423103001003023021
5144320312433223
65323400200013
7606412006215
oct132301031311
934271103310
1012130202313
115165201599
122426469009
1311b4121408
14831031945
154aedde043
hex2d30432c9

12130202313 has 24 divisors (see below), whose sum is σ = 18126520776. Its totient is φ = 7811424000.

The previous prime is 12130202309. The next prime is 12130202327. The reversal of 12130202313 is 31320203121.

12130202313 is a `hidden beast` number, since 121 + 30 + 202 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3813309504 + 8316892809 = 61752^2 + 91197^2 .

It is not a de Polignac number, because 12130202313 - 22 = 12130202309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12130202213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125470 + ... + 200007.

It is an arithmetic number, because the mean of its divisors is an integer number (755271699).

Almost surely, 212130202313 is an apocalyptic number.

It is an amenable number.

12130202313 is a deficient number, since it is larger than the sum of its proper divisors (5996318463).

12130202313 is a wasteful number, since it uses less digits than its factorization.

12130202313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325625 (or 325622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12130202313 its reverse (31320203121), we get a palindrome (43450405434).

The spelling of 12130202313 in words is "twelve billion, one hundred thirty million, two hundred two thousand, three hundred thirteen".

Divisors: 1 3 9 41 101 123 303 369 909 4141 12423 37269 325477 976431 2929293 13344557 32873177 40033671 98619531 120101013 295858593 1347800257 4043400771 12130202313