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133332132 = 22316766533
BaseRepresentation
bin1111111001001…
…11110010100100
3100021212222022010
413330213302210
5233113112012
621121434220
73206206263
oct774476244
9307788263
10133332132
116929844a
123879b970
132181436b
14139ca5da
15ba8ac3c
hex7f27ca4

133332132 has 24 divisors (see below), whose sum is σ = 312975936. Its totient is φ = 44177248.

The previous prime is 133332131. The next prime is 133332137. The reversal of 133332132 is 231233331.

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 = 133332099 and 133332108.

It is not an unprimeable number, because it can be changed into a prime (133332131) 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, 31263 + ... + 35270.

It is an arithmetic number, because the mean of its divisors is an integer number (13040664).

Almost surely, 2133332132 is an apocalyptic number.

133332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133332132 is an abundant number, since it is smaller than the sum of its proper divisors (179643804).

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

133332132 is a wasteful number, since it uses less digits than its factorization.

133332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66707 (or 66705 counting only the distinct ones).

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

The square root of 133332132 is about 11546.9533644161. The cubic root of 133332132 is about 510.8714206027.

Adding to 133332132 its reverse (231233331), we get a palindrome (364565463).

The spelling of 133332132 in words is "one hundred thirty-three million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004 66533 133066 199599 266132 399198 798396 11111011 22222022 33333033 44444044 66666066 133332132