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12331334205 = 325274029649
BaseRepresentation
bin10110111110000000…
…10011101000111101
31011211101120200102200
423133000103220331
5200223310143310
65355343142113
7614403416451
oct133700235075
934741520380
1012331334205
1152587979a3
1224818a4939
1312169b3978
1484da2a661
154c28bd9c0
hex2df013a3d

12331334205 has 12 divisors (see below), whose sum is σ = 21374312700. Its totient is φ = 6576711552.

The previous prime is 12331334203. The next prime is 12331334219. The reversal of 12331334205 is 50243313321.

12331334205 is a `hidden beast` number, since 1 + 2 + 3 + 313 + 342 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8434952964 + 3896381241 = 91842^2 + 62421^2 .

It is not a de Polignac number, because 12331334205 - 21 = 12331334203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331334203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137014780 + ... + 137014869.

It is an arithmetic number, because the mean of its divisors is an integer number (1781192725).

Almost surely, 212331334205 is an apocalyptic number.

12331334205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12331334205 is a deficient number, since it is larger than the sum of its proper divisors (9042978495).

12331334205 is a wasteful number, since it uses less digits than its factorization.

12331334205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274029660 (or 274029657 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12331334205 its reverse (50243313321), we get a palindrome (62574647526).

The spelling of 12331334205 in words is "twelve billion, three hundred thirty-one million, three hundred thirty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 45 274029649 822088947 1370148245 2466266841 4110444735 12331334205