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133024361 = 37297169
BaseRepresentation
bin1111110110111…
…00101001101001
3100021022100010012
413323130221221
5233023234421
621111101305
73203455061
oct773345151
9307270105
10133024361
11690a8198
1238671835
1321737252
141394a3a1
15ba2995b
hex7edca69

133024361 has 6 divisors (see below), whose sum is σ = 136718190. Its totient is φ = 129427776.

The previous prime is 133024357. The next prime is 133024399. The reversal of 133024361 is 163420331.

133024361 = 81552 + 81562.

It can be written as a sum of positive squares in 3 ways, for example, as 66520336 + 66504025 = 8156^2 + 8155^2 .

It is not a de Polignac number, because 133024361 - 22 = 133024357 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133024261) 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 5 ways as a sum of consecutive naturals, for example, 47216 + ... + 49953.

It is an arithmetic number, because the mean of its divisors is an integer number (22786365).

Almost surely, 2133024361 is an apocalyptic number.

133024361 is the 8156-th centered square number.

It is an amenable number.

133024361 is a deficient number, since it is larger than the sum of its proper divisors (3693829).

133024361 is an frugal number, since it uses more digits than its factorization.

133024361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97243 (or 97206 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 133024361 is about 11533.6187296095. The cubic root of 133024361 is about 510.4780357017.

Adding to 133024361 its reverse (163420331), we get a palindrome (296444692).

The spelling of 133024361 in words is "one hundred thirty-three million, twenty-four thousand, three hundred sixty-one".

Divisors: 1 37 1369 97169 3595253 133024361