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12131333322 = 2317391112829
BaseRepresentation
bin10110100110001010…
…10111010011001010
31011022110020120210120
423103011113103022
5144321110131242
65323440324110
7606424426503
oct132305272312
934273216716
1012131333322
115165904309
122426913636
1311b4429154
14831247baa
154b00641ec
hex2d31574ca

12131333322 has 32 divisors (see below), whose sum is σ = 24431604480. Its totient is φ = 4015677120.

The previous prime is 12131333309. The next prime is 12131333327. The reversal of 12131333322 is 22333313121.

12131333322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12131333292 and 12131333301.

It is not an unprimeable number, because it can be changed into a prime (12131333327) 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, 939204 + ... + 952032.

It is an arithmetic number, because the mean of its divisors is an integer number (763487640).

Almost surely, 212131333322 is an apocalyptic number.

12131333322 is an abundant number, since it is smaller than the sum of its proper divisors (12300271158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131333322 is a wasteful number, since it uses less digits than its factorization.

12131333322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918.

The product of its digits is 1944, while the sum is 24.

Adding to 12131333322 its reverse (22333313121), we get a palindrome (34464646443).

The spelling of 12131333322 in words is "twelve billion, one hundred thirty-one million, three hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 173 346 519 911 1038 1822 2733 5466 12829 25658 38487 76974 157603 315206 472809 945618 2219417 4438834 6658251 11687219 13316502 23374438 35061657 70123314 2021888887 4043777774 6065666661 12131333322