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13382031 = 313418369
BaseRepresentation
bin110011000011…
…000110001111
3221011212200210
4303003012033
511411211111
61154453503
7221513445
oct63030617
927155623
1013382031
117610133
124594293
132a07080
141ac4b95
1512950a6
hexcc318f

13382031 has 16 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 8033280.

The previous prime is 13382027. The next prime is 13382051. The reversal of 13382031 is 13028331.

It is a happy number.

13382031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13382031 - 22 = 13382027 is a prime.

It is a super-2 number, since 2×133820312 = 358157507369922, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13381989 and 13382007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2586 + ... + 5783.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 213382031 is an apocalyptic number.

13382031 is a deficient number, since it is larger than the sum of its proper divisors (6304209).

13382031 is a wasteful number, since it uses less digits than its factorization.

13382031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13382031 is about 3658.1458418166. The cubic root of 13382031 is about 237.4145568916.

The spelling of 13382031 in words is "thirteen million, three hundred eighty-two thousand, thirty-one".

Divisors: 1 3 13 39 41 123 533 1599 8369 25107 108797 326391 343129 1029387 4460677 13382031