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12300133221 = 3231375212287
BaseRepresentation
bin10110111010010010…
…10010001101100101
31011202012212111201200
423131021102031211
5200142313230341
65352310313113
7613544256465
oct133511221545
934665774650
1012300133221
115242117162
122473358799
1312103ab14c
14849827ba5
154beca8db6
hex2dd252365

12300133221 has 48 divisors (see below), whose sum is σ = 18880063488. Its totient is φ = 7702905600.

The previous prime is 12300133193. The next prime is 12300133229. The reversal of 12300133221 is 12233100321.

12300133221 is a `hidden beast` number, since 12 + 300 + 1 + 332 + 21 = 666.

12300133221 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 12300133221 - 210 = 12300132197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12300133194 and 12300133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300133229) 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 47 ways as a sum of consecutive naturals, for example, 5377140 + ... + 5379426.

It is an arithmetic number, because the mean of its divisors is an integer number (393334656).

Almost surely, 212300133221 is an apocalyptic number.

It is an amenable number.

12300133221 is a deficient number, since it is larger than the sum of its proper divisors (6579930267).

12300133221 is a wasteful number, since it uses less digits than its factorization.

12300133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12300133221 its reverse (12233100321), we get a palindrome (24533233542).

The spelling of 12300133221 in words is "twelve billion, three hundred million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 31 37 93 111 279 333 521 1147 1563 2287 3441 4689 6861 10323 16151 19277 20583 48453 57831 70897 84619 145359 173493 212691 253857 597587 638073 761571 1191527 1792761 2623189 3574581 5378283 7869567 10723743 23608701 36937337 44086499 110812011 132259497 332436033 396778491 1366681469 4100044407 12300133221