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12302133220 = 22513313151169
BaseRepresentation
bin10110111010100001…
…11010011111100100
31011202100122010012201
423131100322133210
5200143321230340
65352421224244
7613600256416
oct133520723744
934670563181
1012302133220
115243262853
122473b62084
13121092b590
14849bc89b6
154c005179a
hex2dd43a7e4

12302133220 has 48 divisors (see below), whose sum is σ = 27910819440. Its totient is φ = 4527783936.

The previous prime is 12302133209. The next prime is 12302133227. The reversal of 12302133220 is 2233120321.

It can be written as a sum of positive squares in 8 ways, for example, as 1010095524 + 11292037696 = 31782^2 + 106264^2 .

It is not an unprimeable number, because it can be changed into a prime (12302133227) 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 15 ways as a sum of consecutive naturals, for example, 5796 + ... + 156964.

It is an arithmetic number, because the mean of its divisors is an integer number (581475405).

Almost surely, 212302133220 is an apocalyptic number.

12302133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955409720).

12302133220 is an abundant number, since it is smaller than the sum of its proper divisors (15608686220).

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

12302133220 is a wasteful number, since it uses less digits than its factorization.

12302133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151504 (or 151502 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12302133220 its reverse (2233120321), we get a palindrome (14535253541).

The spelling of 12302133220 in words is "twelve billion, three hundred two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 1252 1565 3130 4069 6260 8138 16276 20345 40690 81380 151169 302338 604676 755845 1511690 1965197 3023380 3930394 7860788 9825985 19651970 39303940 47315897 94631794 189263588 236579485 473158970 615106661 946317940 1230213322 2460426644 3075533305 6151066610 12302133220