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133113903 = 31323148399
BaseRepresentation
bin1111110111100…
…10100000101111
3100021110212221120
413323302200233
5233034121103
621113032023
73204310116
oct773624057
9307425846
10133113903
116915949a
12386b5613
1321768c30
1413970c7d
15ba46253
hex7ef282f

133113903 has 16 divisors (see below), whose sum is σ = 199449600. Its totient is φ = 78354144.

The previous prime is 133113881. The next prime is 133113913. The reversal of 133113903 is 309311331.

It is not a de Polignac number, because 133113903 - 28 = 133113647 is a prime.

It is a super-2 number, since 2×1331139032 = 35438622343786818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113913) 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 15 ways as a sum of consecutive naturals, for example, 73303 + ... + 75096.

It is an arithmetic number, because the mean of its divisors is an integer number (12465600).

Almost surely, 2133113903 is an apocalyptic number.

133113903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133113903 is a deficient number, since it is larger than the sum of its proper divisors (66335697).

133113903 is a wasteful number, since it uses less digits than its factorization.

133113903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148438.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 133113903 is about 11537.4998591549. The cubic root of 133113903 is about 510.5925484916.

The spelling of 133113903 in words is "one hundred thirty-three million, one hundred thirteen thousand, nine hundred three".

Divisors: 1 3 13 23 39 69 299 897 148399 445197 1929187 3413177 5787561 10239531 44371301 133113903