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135054123 = 3415320717
BaseRepresentation
bin10000000110011…
…00001100101011
3100102010110102120
420003030030223
5234033212443
621222402323
73226640541
oct1003141453
9312113376
10135054123
116a264186
12392903a3
1321c980a9
1413d17d91
15bccb083
hex80cc32b

135054123 has 16 divisors (see below), whose sum is σ = 187953696. Its totient is φ = 86178560.

The previous prime is 135054089. The next prime is 135054149. The reversal of 135054123 is 321450531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135054123 is a prime.

It is a super-2 number, since 2×1350541232 = 36479232278598258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135054093 and 135054102.

It is not an unprimeable number, because it can be changed into a prime (135054163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3840 + ... + 16877.

It is an arithmetic number, because the mean of its divisors is an integer number (11747106).

Almost surely, 2135054123 is an apocalyptic number.

135054123 is a deficient number, since it is larger than the sum of its proper divisors (52899573).

135054123 is a wasteful number, since it uses less digits than its factorization.

135054123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20814.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135054123 is about 11621.2788883152. The cubic root of 135054123 is about 513.0613296793.

The spelling of 135054123 in words is "one hundred thirty-five million, fifty-four thousand, one hundred twenty-three".

Divisors: 1 3 41 53 123 159 2173 6519 20717 62151 849397 1098001 2548191 3294003 45018041 135054123