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12133242153 = 341009148457
BaseRepresentation
bin10110100110011001…
…01001010100101001
31011022120211120020000
423103030221110221
5144322102222103
65323545253213
7606446566554
oct132314512451
934276746200
1012133242153
11516699845a
122427494209
1311b4946c36
148315c369b
154b02deaa3
hex2d3329529

12133242153 has 20 divisors (see below), whose sum is σ = 18143052180. Its totient is φ = 8080756992.

The previous prime is 12133242137. The next prime is 12133242161. The reversal of 12133242153 is 35124233121.

12133242153 is a `hidden beast` number, since 121 + 3 + 324 + 215 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6312620304 + 5820621849 = 79452^2 + 76293^2 .

It is not a de Polignac number, because 12133242153 - 24 = 12133242137 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12133242553) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7501 + ... + 155957.

It is an arithmetic number, because the mean of its divisors is an integer number (907152609).

Almost surely, 212133242153 is an apocalyptic number.

It is an amenable number.

12133242153 is a deficient number, since it is larger than the sum of its proper divisors (6009810027).

12133242153 is a wasteful number, since it uses less digits than its factorization.

12133242153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149478 (or 149469 counting only the distinct ones).

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

Adding to 12133242153 its reverse (35124233121), we get a palindrome (47257475274).

The spelling of 12133242153 in words is "twelve billion, one hundred thirty-three million, two hundred forty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 27 81 1009 3027 9081 27243 81729 148457 445371 1336113 4008339 12025017 149793113 449379339 1348138017 4044414051 12133242153