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133180465 = 51121723563
BaseRepresentation
bin1111111000000…
…10110000110001
3100021121021020211
413330002300301
5233043233330
621114304121
73205005145
oct774026061
9307537224
10133180465
11691a4500
1238728041
1321790312
141398b225
15ba5ad2a
hex7f02c31

133180465 has 48 divisors (see below), whose sum is σ = 194431104. Its totient is φ = 87042560.

The previous prime is 133180447. The next prime is 133180517. The reversal of 133180465 is 564081331.

It is not a de Polignac number, because 133180465 - 27 = 133180337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236274 + ... + 236836.

It is an arithmetic number, because the mean of its divisors is an integer number (4050648).

Almost surely, 2133180465 is an apocalyptic number.

It is an amenable number.

133180465 is a deficient number, since it is larger than the sum of its proper divisors (61250639).

133180465 is a wasteful number, since it uses less digits than its factorization.

133180465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 133180465 is about 11540.3840923948. The cubic root of 133180465 is about 510.6776395232.

It can be divided in two parts, 1331 and 80465, that added together give a square (81796 = 2862).

The spelling of 133180465 in words is "one hundred thirty-three million, one hundred eighty thousand, four hundred sixty-five".

Divisors: 1 5 11 17 23 55 85 115 121 187 253 391 563 605 935 1265 1955 2057 2783 2815 4301 6193 9571 10285 12949 13915 21505 30965 47311 47855 64745 68123 105281 142439 220133 236555 340615 526405 712195 1100665 1158091 1566829 2421463 5790455 7834145 12107315 26636093 133180465