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12340325601 = 3229439710753
BaseRepresentation
bin10110111111000101…
…00110110011100001
31011212000111111022100
423133202212303201
5200233110404401
65400304001013
7614543015442
oct133742466341
934760444270
1012340325601
1152628792aa
122484900169
131218811416
14850ccb2c9
154c3597b86
hex2df8a6ce1

12340325601 has 24 divisors (see below), whose sum is σ = 18445475880. Its totient is φ = 7940653056.

The previous prime is 12340325579. The next prime is 12340325611. The reversal of 12340325601 is 10652304321.

12340325601 is a `hidden beast` number, since 1 + 2 + 3 + 403 + 256 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4775501025 + 7564824576 = 69105^2 + 86976^2 .

It is not a de Polignac number, because 12340325601 - 26 = 12340325537 is a prime.

It is a super-2 number, since 2×123403256012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12340325611) 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 23 ways as a sum of consecutive naturals, for example, 1142241 + ... + 1152993.

It is an arithmetic number, because the mean of its divisors is an integer number (768561495).

Almost surely, 212340325601 is an apocalyptic number.

It is an amenable number.

12340325601 is a deficient number, since it is larger than the sum of its proper divisors (6105150279).

12340325601 is a wasteful number, since it uses less digits than its factorization.

12340325601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15185 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12340325601 its reverse (10652304321), we get a palindrome (22992629922).

The spelling of 12340325601 in words is "twelve billion, three hundred forty million, three hundred twenty-five thousand, six hundred one".

Divisors: 1 3 9 29 87 261 4397 10753 13191 32259 39573 96777 127513 311837 382539 935511 1147617 2806533 47280941 141842823 425528469 1371147289 4113441867 12340325601