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133935131 = 1182714723
BaseRepresentation
bin1111111101110…
…11000000011011
3100100000121110102
413332323000123
5233241411011
621142410015
73214300301
oct776730033
9310017412
10133935131
116966a4a0
1238a3090b
1321995975
1413b06271
15bb5973b
hex7fbb01b

133935131 has 8 divisors (see below), whose sum is σ = 146297664. Its totient is φ = 121603720.

The previous prime is 133935119. The next prime is 133935149. The reversal of 133935131 is 131539331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133935131 - 222 = 129740827 is a prime.

It is a super-2 number, since 2×1339351312 = 35877238631974322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133935094 and 133935103.

It is not an unprimeable number, because it can be changed into a prime (133935031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1736 + ... + 16458.

It is an arithmetic number, because the mean of its divisors is an integer number (18287208).

Almost surely, 2133935131 is an apocalyptic number.

133935131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133935131 is a deficient number, since it is larger than the sum of its proper divisors (12362533).

133935131 is a wasteful number, since it uses less digits than its factorization.

133935131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15561.

The product of its digits is 3645, while the sum is 29.

The square root of 133935131 is about 11573.0346495636. The cubic root of 133935131 is about 511.6404068382.

The spelling of 133935131 in words is "one hundred thirty-three million, nine hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 11 827 9097 14723 161953 12175921 133935131