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12333433321 = 1139266291
BaseRepresentation
bin10110111110010000…
…10100000111101001
31011211112112022212201
423133020110013221
5200224324331241
65355500140201
7614430311356
oct133710240751
934745468781
1012333433321
1152599a1000
122482537661
13121726a251
1485001562d
154c2b85931
hex2df2141e9

12333433321 has 8 divisors (see below), whose sum is σ = 13565851488. Its totient is φ = 11212210900.

The previous prime is 12333433319. The next prime is 12333433331.

12333433321 is nontrivially palindromic in base 10.

12333433321 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 12333433321 - 21 = 12333433319 is a prime.

It is a super-2 number, since 2×123334333212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12333433321.

It is not an unprimeable number, because it can be changed into a prime (12333433331) 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 7 ways as a sum of consecutive naturals, for example, 4631815 + ... + 4634476.

It is an arithmetic number, because the mean of its divisors is an integer number (1695731436).

Almost surely, 212333433321 is an apocalyptic number.

12333433321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12333433321 is a deficient number, since it is larger than the sum of its proper divisors (1232418167).

12333433321 is an frugal number, since it uses more digits than its factorization.

12333433321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266324 (or 9266302 counting only the distinct ones).

The product of its digits is 11664, while the sum is 28.

The spelling of 12333433321 in words is "twelve billion, three hundred thirty-three million, four hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 11 121 1331 9266291 101929201 1121221211 12333433321