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13083191 = 1119591061
BaseRepresentation
bin110001111010…
…001000110111
3220121200202122
4301322020313
511322130231
61144230155
7216130262
oct61721067
926550678
1013083191
117426660
12446b35b
132931044
141a47cd9
15123677b
hexc7a237

13083191 has 16 divisors (see below), whose sum is σ = 15292800. Its totient is φ = 11066400.

The previous prime is 13083179. The next prime is 13083193. The reversal of 13083191 is 19138031.

It is a cyclic number.

It is not a de Polignac number, because 13083191 - 218 = 12821047 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13083191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13083193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11801 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (955800).

Almost surely, 213083191 is an apocalyptic number.

13083191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13083191 is a deficient number, since it is larger than the sum of its proper divisors (2209609).

13083191 is a wasteful number, since it uses less digits than its factorization.

13083191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 13083191 is about 3617.0693938602. The cubic root of 13083191 is about 235.6339664777.

The spelling of 13083191 in words is "thirteen million, eighty-three thousand, one hundred ninety-one".

Divisors: 1 11 19 59 209 649 1061 1121 11671 12331 20159 62599 221749 688589 1189381 13083191