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13120093 = 73291319
BaseRepresentation
bin110010000011…
…001001011101
3220200120101101
4302003021131
511324320333
61145113101
7216343000
oct62031135
926616341
1013120093
117451358
124488791
132944a8c
141a57537
15124267d
hexc8325d

13120093 has 16 divisors (see below), whose sum is σ = 15840000. Its totient is φ = 10849776.

The previous prime is 13120087. The next prime is 13120103. The reversal of 13120093 is 39002131.

It is not a de Polignac number, because 13120093 - 25 = 13120061 is a prime.

It is a super-3 number, since 3×131200933 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13120093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9288 + ... + 10606.

It is an arithmetic number, because the mean of its divisors is an integer number (990000).

Almost surely, 213120093 is an apocalyptic number.

It is an amenable number.

13120093 is a deficient number, since it is larger than the sum of its proper divisors (2719907).

13120093 is an equidigital number, since it uses as much as digits as its factorization.

13120093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 13120093 is about 3622.1668928971. The cubic root of 13120093 is about 235.8552988762.

The spelling of 13120093 in words is "thirteen million, one hundred twenty thousand, ninety-three".

Divisors: 1 7 29 49 203 343 1319 1421 9233 9947 38251 64631 267757 452417 1874299 13120093