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12233833221 = 319293732521
BaseRepresentation
bin10110110010011000…
…10111101100000101
31011120121010010020010
423121030113230011
5200023330130341
65341541300433
7612110603151
oct133114275405
934517103203
1012233833221
115208752a75
122455104719
1311cc73678c
14840aca061
154b905e716
hex2d9317b05

12233833221 has 16 divisors (see below), whose sum is σ = 17228917440. Its totient is φ = 7700250240.

The previous prime is 12233833189. The next prime is 12233833231.

12233833221 is nontrivially palindromic in base 10.

12233833221 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 12233833221 - 25 = 12233833189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233833231) 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, 349560 + ... + 382961.

It is an arithmetic number, because the mean of its divisors is an integer number (1076807340).

Almost surely, 212233833221 is an apocalyptic number.

It is an amenable number.

12233833221 is a deficient number, since it is larger than the sum of its proper divisors (4995084219).

12233833221 is a wasteful number, since it uses less digits than its factorization.

12233833221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732836.

The product of its digits is 10368, while the sum is 30.

The spelling of 12233833221 in words is "twelve billion, two hundred thirty-three million, eight hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 19 57 293 879 5567 16701 732521 2197563 13917899 41753697 214628653 643885959 4077944407 12233833221