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12312221321 = 174127165183
BaseRepresentation
bin10110111011101110…
…11001011010001001
31011210001121122111002
423131313121122021
5200203412040241
65353421344345
7614052103661
oct133567313211
934701548432
1012312221321
115248a23124
1224774080b5
131212a5127a
1484b2931a1
154c0d9589b
hex2dddd9689

12312221321 has 16 divisors (see below), whose sum is σ = 13403916288. Its totient is φ = 11263449600.

The previous prime is 12312221297. The next prime is 12312221359.

12312221321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12312221321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12312221293 and 12312221302.

It is not an unprimeable number, because it can be changed into a prime (12312221221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156296 + ... + 221478.

It is an arithmetic number, because the mean of its divisors is an integer number (837744768).

Almost surely, 212312221321 is an apocalyptic number.

It is an amenable number.

12312221321 is a deficient number, since it is larger than the sum of its proper divisors (1091694967).

12312221321 is a wasteful number, since it uses less digits than its factorization.

12312221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65512.

The product of its digits is 288, while the sum is 20.

The spelling of 12312221321 in words is "twelve billion, three hundred twelve million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 17 41 271 697 4607 11111 65183 188887 1108111 2672503 17664593 45432551 300298081 724248313 12312221321