Search a number
-
+
133105119 = 372905477
BaseRepresentation
bin1111110111100…
…00010111011111
3100021110102220020
413323300113133
5233033330434
621112523223
73204242400
oct773602737
9307412806
10133105119
1169152934
12386b0513
1321764c34
141396b9a7
15ba43849
hex7ef05df

133105119 has 12 divisors (see below), whose sum is σ = 206448984. Its totient is φ = 76059984.

The previous prime is 133105097. The next prime is 133105129. The reversal of 133105119 is 911501331.

It is not a de Polignac number, because 133105119 - 28 = 133104863 is a prime.

It is a super-2 number, since 2×1331051192 = 35433945408008322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133105129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452592 + ... + 452885.

It is an arithmetic number, because the mean of its divisors is an integer number (17204082).

Almost surely, 2133105119 is an apocalyptic number.

133105119 is a deficient number, since it is larger than the sum of its proper divisors (73343865).

133105119 is an equidigital number, since it uses as much as digits as its factorization.

133105119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905494 (or 905487 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 133105119 is about 11537.1191811474. The cubic root of 133105119 is about 510.5813171488.

The spelling of 133105119 in words is "one hundred thirty-three million, one hundred five thousand, one hundred nineteen".

Divisors: 1 3 7 21 49 147 905477 2716431 6338339 19015017 44368373 133105119