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12334000330 = 257853157061
BaseRepresentation
bin10110111110010100…
…11110100011001010
31011211120121010200001
423133022132203022
5200230001002310
65355520233214
7614435162431
oct133712364312
934746533601
1012334000330
11525a249003
12248276b80a
131217408362
14850122118
154c2c4893a
hex2df29e8ca

12334000330 has 16 divisors (see below), whose sum is σ = 22204169064. Its totient is φ = 4932940480.

The previous prime is 12334000321. The next prime is 12334000337. The reversal of 12334000330 is 3300043321.

12334000330 is a nontrivial binomial coefficient, being equal to C(157061, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 8038377649 + 4295622681 = 89657^2 + 65541^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12334000298 and 12334000307.

It is not an unprimeable number, because it can be changed into a prime (12334000337) 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 157060.

Almost surely, 212334000330 is an apocalyptic number.

12334000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12334000330 is the 157060-th triangular number.

12334000330 is the 52354-th centered nonagonal number.

12334000330 is a deficient number, since it is larger than the sum of its proper divisors (9870168734).

12334000330 is a wasteful number, since it uses less digits than its factorization.

12334000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164921.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 12334000330 its reverse (3300043321), we get a palindrome (15634043651).

The spelling of 12334000330 in words is "twelve billion, three hundred thirty-four million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 7853 15706 39265 78530 157061 314122 785305 1570610 1233400033 2466800066 6167000165 12334000330