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133986123 = 3331160079
BaseRepresentation
bin1111111110001…
…11011101001011
3100100010012102000
413333013131023
5233300023443
621143442043
73214602045
oct777073513
9310105360
10133986123
11696a4837
1238a56323
13219b2c3b
1413b1aa95
15bb698d3
hex7fc774b

133986123 has 16 divisors (see below), whose sum is σ = 204902400. Its totient is φ = 86442120.

The previous prime is 133986101. The next prime is 133986161. The reversal of 133986123 is 321689331.

133986123 is a `hidden beast` number, since 1 + 3 + 39 + 8 + 612 + 3 = 666.

It is not a de Polignac number, because 133986123 - 28 = 133985867 is a prime.

It is a super-2 number, since 2×1339861232 = 35904562313142258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (133986023) 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 15 ways as a sum of consecutive naturals, for example, 79203 + ... + 80876.

It is an arithmetic number, because the mean of its divisors is an integer number (12806400).

Almost surely, 2133986123 is an apocalyptic number.

133986123 is a deficient number, since it is larger than the sum of its proper divisors (70916277).

133986123 is a wasteful number, since it uses less digits than its factorization.

133986123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160119 (or 160113 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133986123 is about 11575.2374921640. The cubic root of 133986123 is about 511.7053294545.

The spelling of 133986123 in words is "one hundred thirty-three million, nine hundred eighty-six thousand, one hundred twenty-three".

Divisors: 1 3 9 27 31 93 279 837 160079 480237 1440711 4322133 4962449 14887347 44662041 133986123