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133115180 = 22511605069
BaseRepresentation
bin1111110111100…
…10110100101100
3100021110221200212
413323302310230
5233034141210
621113041552
73204313622
oct773626454
9307427625
10133115180
116915a450
12386b62b8
13217696a3
1413971512
15ba46805
hex7ef2d2c

133115180 has 24 divisors (see below), whose sum is σ = 304955280. Its totient is φ = 48405440.

The previous prime is 133115179. The next prime is 133115189. The reversal of 133115180 is 81511331.

133115180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1331151802 = 35439302292864800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133115189) 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, 302315 + ... + 302754.

It is an arithmetic number, because the mean of its divisors is an integer number (12706470).

Almost surely, 2133115180 is an apocalyptic number.

133115180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133115180 is an abundant number, since it is smaller than the sum of its proper divisors (171840100).

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

133115180 is a wasteful number, since it uses less digits than its factorization.

133115180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605089 (or 605087 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 133115180 is about 11537.5552003013. Note that the first 3 decimals coincide. The cubic root of 133115180 is about 510.5941812401.

The spelling of 133115180 in words is "one hundred thirty-three million, one hundred fifteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 605069 1210138 2420276 3025345 6050690 6655759 12101380 13311518 26623036 33278795 66557590 133115180