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12312013221 = 3210155724317
BaseRepresentation
bin10110111011101101…
…00110100110100101
31011210001020002000200
423131312212212211
5200203333410341
65353413101113
7614050246164
oct133566464645
934701202020
1012312013221
1152488a0842
122477327799
1312129aa631
1484b23b3db
154c0d53db6
hex2ddda69a5

12312013221 has 24 divisors (see below), whose sum is σ = 17993082744. Its totient is φ = 8111817600.

The previous prime is 12312013211. The next prime is 12312013271. The reversal of 12312013221 is 12231021321.

It can be written as a sum of positive squares in 4 ways, for example, as 3218292900 + 9093720321 = 56730^2 + 95361^2 .

It is not a de Polignac number, because 12312013221 - 215 = 12311980453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12312013194 and 12312013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312013211) 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, 494155 + ... + 518471.

It is an arithmetic number, because the mean of its divisors is an integer number (749711781).

Almost surely, 212312013221 is an apocalyptic number.

It is an amenable number.

12312013221 is a deficient number, since it is larger than the sum of its proper divisors (5681069523).

12312013221 is a wasteful number, since it uses less digits than its factorization.

12312013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24981 (or 24978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312013221 its reverse (12231021321), we get a palindrome (24543034542).

The spelling of 12312013221 in words is "twelve billion, three hundred twelve million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 557 909 1671 5013 24317 56257 72951 168771 218853 506313 2456017 7368051 13544569 22104153 40633707 121901121 1368001469 4104004407 12312013221