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12334443321 = 3374173137271
BaseRepresentation
bin10110111110011000…
…01010101100111001
31011211121102122100010
423133030022230321
5200230104141241
65355533532133
7614442016104
oct133714125471
934747378303
1012334443321
11525a520912
122482944049
131217531b95
148501d973b
154c2cd4d16
hex2df30ab39

12334443321 has 64 divisors (see below), whose sum is σ = 17732606976. Its totient is φ = 7614259200.

The previous prime is 12334443311. The next prime is 12334443337.

It is a happy number.

12334443321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12334443321 - 215 = 12334410553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12334443311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45514416 + ... + 45514686.

It is an arithmetic number, because the mean of its divisors is an integer number (277071984).

Almost surely, 212334443321 is an apocalyptic number.

It is an amenable number.

12334443321 is a deficient number, since it is larger than the sum of its proper divisors (5398163655).

12334443321 is a wasteful number, since it uses less digits than its factorization.

12334443321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its digits is 20736, while the sum is 30.

The spelling of 12334443321 in words is "twelve billion, three hundred thirty-four million, four hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 37 41 73 111 123 137 219 271 411 813 1517 2701 2993 4551 5069 5617 8103 8979 10001 10027 11111 15207 16851 19783 30003 30081 33333 37127 59349 110741 111381 207829 332223 370037 410041 411107 623487 731971 811103 1110111 1230123 1233321 1373699 1522207 2195913 2433309 2710271 4121097 4566621 8130813 15171517 30010811 45514551 56321659 90032433 100280027 111121111 168964977 300840081 333363333 4111481107 12334443321