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133082217 = 334928971
BaseRepresentation
bin1111110111010…
…10110001101001
3100021102021111000
413323222301221
5233032112332
621112225213
73204115542
oct773526151
9307367430
10133082217
1169137704
123869b209
1321757698
14139634c9
15ba3bb7c
hex7eeac69

133082217 has 8 divisors (see below), whose sum is σ = 197158880. Its totient is φ = 88721460.

The previous prime is 133082203. The next prime is 133082219. The reversal of 133082217 is 712280331.

It is not a de Polignac number, because 133082217 - 28 = 133081961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4928971 = 133082217 / (1 + 3 + 3 + 0 + 8 + 2 + 2 + 1 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133082219) 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, 2464459 + ... + 2464512.

It is an arithmetic number, because the mean of its divisors is an integer number (24644860).

Almost surely, 2133082217 is an apocalyptic number.

It is an amenable number.

133082217 is a deficient number, since it is larger than the sum of its proper divisors (64076663).

133082217 is an equidigital number, since it uses as much as digits as its factorization.

133082217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928980 (or 4928974 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 133082217 is about 11536.1266029807. The cubic root of 133082217 is about 510.5520320141.

The spelling of 133082217 in words is "one hundred thirty-three million, eighty-two thousand, two hundred seventeen".

Divisors: 1 3 9 27 4928971 14786913 44360739 133082217