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133022581 = 312149929
BaseRepresentation
bin1111110110111…
…00001101110101
3100021022020200021
413323130031311
5233023210311
621111045141
73203446636
oct773341565
9307266607
10133022581
11690a691a
12386707b1
13217364b3
141394988d
15ba29171
hex7edc375

133022581 has 12 divisors (see below), whose sum is σ = 138523500. Its totient is φ = 127729920.

The previous prime is 133022579. The next prime is 133022587. The reversal of 133022581 is 185220331.

It can be written as a sum of positive squares in 2 ways, for example, as 7784100 + 125238481 = 2790^2 + 11191^2 .

It is not a de Polignac number, because 133022581 - 21 = 133022579 is a prime.

It is a super-2 number, since 2×1330225812 = 35390014111803122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133022587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142725 + ... + 143653.

It is an arithmetic number, because the mean of its divisors is an integer number (11543625).

Almost surely, 2133022581 is an apocalyptic number.

It is an amenable number.

133022581 is a deficient number, since it is larger than the sum of its proper divisors (5500919).

133022581 is an equidigital number, since it uses as much as digits as its factorization.

133022581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 133022581 is about 11533.5415636308. The cubic root of 133022581 is about 510.4757587880.

The spelling of 133022581 in words is "one hundred thirty-three million, twenty-two thousand, five hundred eighty-one".

Divisors: 1 31 149 929 961 4619 28799 138421 143189 892769 4291051 133022581