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133323132 = 223109101929
BaseRepresentation
bin1111111001001…
…01100101111100
3100021212111221210
413330211211330
5233112320012
621121324420
73206141115
oct774454574
9307774853
10133323132
1169291708
1238796710
1321810237
14139c720c
15ba8823c
hex7f2597c

133323132 has 24 divisors (see below), whose sum is σ = 313944400. Its totient is φ = 44032896.

The previous prime is 133323109. The next prime is 133323139. The reversal of 133323132 is 231323331.

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 = 133323099 and 133323108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133323139) 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, 49657 + ... + 52272.

Almost surely, 2133323132 is an apocalyptic number.

133323132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133323132 is an abundant number, since it is smaller than the sum of its proper divisors (180621268).

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

133323132 is a wasteful number, since it uses less digits than its factorization.

133323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102045 (or 102043 counting only the distinct ones).

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

The square root of 133323132 is about 11546.5636446520. The cubic root of 133323132 is about 510.8599256335.

Adding to 133323132 its reverse (231323331), we get a palindrome (364646463).

The spelling of 133323132 in words is "one hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 109 218 327 436 654 1308 101929 203858 305787 407716 611574 1223148 11110261 22220522 33330783 44441044 66661566 133323132