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133642903 = 1923417459
BaseRepresentation
bin1111111011100…
…11101010010111
3100022110202121011
413331303222113
5233203033103
621132233051
73211642312
oct775635227
9308422534
10133642903
116948a989
123890b787
13218c2954
1413a6b979
15baecd6d
hex7f73a97

133642903 has 16 divisors (see below), whose sum is σ = 150393600. Its totient is φ = 118134720.

The previous prime is 133642889. The next prime is 133642907. The reversal of 133642903 is 309246331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133642903 is a prime.

It is a super-3 number, since 3×1336429033 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133642907) 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 15 ways as a sum of consecutive naturals, for example, 14188 + ... + 21646.

It is an arithmetic number, because the mean of its divisors is an integer number (9399600).

Almost surely, 2133642903 is an apocalyptic number.

133642903 is a deficient number, since it is larger than the sum of its proper divisors (16750697).

133642903 is a wasteful number, since it uses less digits than its factorization.

133642903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542.

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 133642903 is about 11560.4023718900. The cubic root of 133642903 is about 511.2680262573.

The spelling of 133642903 in words is "one hundred thirty-three million, six hundred forty-two thousand, nine hundred three".

Divisors: 1 19 23 41 437 779 943 7459 17917 141721 171557 305819 3259583 5810561 7033837 133642903