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133233132 = 22364117321
BaseRepresentation
bin1111111000011…
…11100111101100
3100021200221111110
413330033213230
5233101430012
621115352020
73205314534
oct774174754
9307627443
10133233132
116923002a
1238752610
13217ab296
14139a24c4
15ba6b73c
hex7f0f9ec

133233132 has 24 divisors (see below), whose sum is σ = 311380272. Its totient is φ = 44339200.

The previous prime is 133233119. The next prime is 133233161. The reversal of 133233132 is 231332331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133233099 and 133233108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969 + ... + 16352.

It is an arithmetic number, because the mean of its divisors is an integer number (12974178).

Almost surely, 2133233132 is an apocalyptic number.

133233132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133233132 is an abundant number, since it is smaller than the sum of its proper divisors (178147140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133233132 is a wasteful number, since it uses less digits than its factorization.

133233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17969 (or 17967 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 133233132 is about 11542.6657233067. The cubic root of 133233132 is about 510.7449474793.

Adding to 133233132 its reverse (231332331), we get a palindrome (364565463).

The spelling of 133233132 in words is "one hundred thirty-three million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 641 1282 1923 2564 3846 7692 17321 34642 51963 69284 103926 207852 11102761 22205522 33308283 44411044 66616566 133233132