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12023000313 = 319970128729
BaseRepresentation
bin10110011001010000…
…00110110011111001
31011000220101200211220
423030220012303321
5144110342002223
65305010342253
7603640550022
oct131450066371
934026350756
1012023000313
11510a7410a5
1223b658a989
131197b5878c
14820ac7c49
154a57b56e3
hex2cca06cf9

12023000313 has 16 divisors (see below), whose sum is σ = 16134768000. Its totient is φ = 7963401600.

The previous prime is 12023000303. The next prime is 12023000317. The reversal of 12023000313 is 31300032021.

12023000313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12023000313 - 25 = 12023000281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12023000292 and 12023000301.

It is not an unprimeable number, because it can be changed into a prime (12023000317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404133 + ... + 432861.

It is an arithmetic number, because the mean of its divisors is an integer number (1008423000).

Almost surely, 212023000313 is an apocalyptic number.

It is an amenable number.

12023000313 is a deficient number, since it is larger than the sum of its proper divisors (4111767687).

12023000313 is a wasteful number, since it uses less digits than its factorization.

12023000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29632.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12023000313 its reverse (31300032021), we get a palindrome (43323032334).

The spelling of 12023000313 in words is "twelve billion, twenty-three million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 199 597 701 2103 28729 86187 139499 418497 5717071 17151213 20139029 60417087 4007666771 12023000313