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12413153205 = 3653405529
BaseRepresentation
bin10111000111110000…
…11010111110110101
31012001002112112000000
423203320122332311
5200410231400310
65411424541513
7616416030015
oct134370327665
935032475000
1012413153205
11529a9a0802
1224a5181899
13122a92cc8b
1485a847c45
154c9b814c0
hex2e3e1afb5

12413153205 has 28 divisors (see below), whose sum is σ = 22333465740. Its totient is φ = 6620346432.

The previous prime is 12413153201. The next prime is 12413153209. The reversal of 12413153205 is 50235131421.

12413153205 is a `hidden beast` number, since 1 + 24 + 1 + 315 + 320 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12413153201) and next prime (12413153209).

It can be written as a sum of positive squares in 2 ways, for example, as 8397523044 + 4015630161 = 91638^2 + 63369^2 .

It is not a de Polignac number, because 12413153205 - 22 = 12413153201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413153201) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1699120 + ... + 1706409.

Almost surely, 212413153205 is an apocalyptic number.

12413153205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12413153205 is a deficient number, since it is larger than the sum of its proper divisors (9920312535).

12413153205 is an frugal number, since it uses more digits than its factorization.

12413153205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405552 (or 3405537 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12413153205 its reverse (50235131421), we get a palindrome (62648284626).

The spelling of 12413153205 in words is "twelve billion, four hundred thirteen million, one hundred fifty-three thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 3405529 10216587 17027645 30649761 51082935 91949283 153248805 275847849 459746415 827543547 1379239245 2482630641 4137717735 12413153205