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133066131 = 3114032307
BaseRepresentation
bin1111110111001…
…10110110010011
3100021101110102020
413323212312103
5233031104011
621112022523
73204020622
oct773466623
9307343366
10133066131
1169126610
1238691a43
1321750273
141395b6b9
15ba37006
hex7ee6d93

133066131 has 8 divisors (see below), whose sum is σ = 193550784. Its totient is φ = 80646120.

The previous prime is 133066127. The next prime is 133066133. The reversal of 133066131 is 131660331.

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

It is not a de Polignac number, because 133066131 - 22 = 133066127 is a prime.

It is a super-2 number, since 2×1330661312 = 35413190438618322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (133066133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016121 + ... + 2016186.

It is an arithmetic number, because the mean of its divisors is an integer number (24193848).

Almost surely, 2133066131 is an apocalyptic number.

133066131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133066131 is a deficient number, since it is larger than the sum of its proper divisors (60484653).

133066131 is a wasteful number, since it uses less digits than its factorization.

133066131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032321.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 133066131 is about 11535.4293808250. The cubic root of 133066131 is about 510.5314605931.

The spelling of 133066131 in words is "one hundred thirty-three million, sixty-six thousand, one hundred thirty-one".

Divisors: 1 3 11 33 4032307 12096921 44355377 133066131