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133113320 = 2353327833
BaseRepresentation
bin1111110111100…
…10010111101000
3100021110212010222
413323302113220
5233034111240
621113025212
73204305324
oct773622750
9307425128
10133113320
116915900a
12386b5208
13217688a2
1413970984
15ba45eb5
hex7ef25e8

133113320 has 16 divisors (see below), whose sum is σ = 299505060. Its totient is φ = 53245312.

The previous prime is 133113317. The next prime is 133113329. The reversal of 133113320 is 23311331.

133113320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123165604 + 9947716 = 11098^2 + 3154^2 .

It is a super-2 number, since 2×1331133202 = 35438311922844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133113329) 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 3 ways as a sum of consecutive naturals, for example, 1663877 + ... + 1663956.

Almost surely, 2133113320 is an apocalyptic number.

133113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133113320 is an abundant number, since it is smaller than the sum of its proper divisors (166391740).

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

133113320 is a wasteful number, since it uses less digits than its factorization.

133113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327844 (or 3327840 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133113320 is about 11537.4745936882. The cubic root of 133113320 is about 510.5918030751.

Adding to 133113320 its reverse (23311331), we get a palindrome (156424651).

The spelling of 133113320 in words is "one hundred thirty-three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3327833 6655666 13311332 16639165 26622664 33278330 66556660 133113320