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12306132253 = 37616178837
BaseRepresentation
bin10110111011000000…
…01010110100011101
31011202122011021212001
423131200022310131
5200200332213003
65353043042301
7613646253412
oct133540126435
934678137761
1012306132253
115245544338
122475370391
1312116cb87c
1484a54a109
154c059161d
hex2dd80ad1d

12306132253 has 16 divisors (see below), whose sum is σ = 12868198704. Its totient is φ = 11756828160.

The previous prime is 12306132229. The next prime is 12306132263. The reversal of 12306132253 is 35223160321.

12306132253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1764 + 12306130489 = 42^2 + 110933^2 .

It is a cyclic number.

It is not a de Polignac number, because 12306132253 - 221 = 12304035101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12306132263) 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, 1388151 + ... + 1396987.

It is an arithmetic number, because the mean of its divisors is an integer number (804262419).

Almost surely, 212306132253 is an apocalyptic number.

It is an amenable number.

12306132253 is a deficient number, since it is larger than the sum of its proper divisors (562066451).

12306132253 is an equidigital number, since it uses as much as digits as its factorization.

12306132253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 12306132253 its reverse (35223160321), we get a palindrome (47529292574).

The spelling of 12306132253 in words is "twelve billion, three hundred six million, one hundred thirty-two thousand, two hundred fifty-three".

Divisors: 1 37 61 617 2257 8837 22829 37637 326969 539057 1392569 5452429 19945109 201739873 332598169 12306132253