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13034131 = 115379283
BaseRepresentation
bin110001101110…
…001010010011
3220112012110121
4301232022103
511314043011
61143211111
7215534245
oct61561223
926465417
1013034131
1173a2810
124446a97
132914906
141a34095
151226e71
hexc6e293

13034131 has 16 divisors (see below), whose sum is σ = 14722560. Its totient is φ = 11437920.

The previous prime is 13034129. The next prime is 13034141. The reversal of 13034131 is 13143031.

13034131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13034131 - 21 = 13034129 is a prime.

It is a super-2 number, since 2×130341312 = 339777141850322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13034141) 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, 45916 + ... + 46198.

It is an arithmetic number, because the mean of its divisors is an integer number (920160).

Almost surely, 213034131 is an apocalyptic number.

13034131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13034131 is a deficient number, since it is larger than the sum of its proper divisors (1688429).

13034131 is a wasteful number, since it uses less digits than its factorization.

13034131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 13034131 is about 3610.2812909800. The cubic root of 13034131 is about 235.3390669065.

Adding to 13034131 its reverse (13143031), we get a palindrome (26177162).

Subtracting 13034131 from its reverse (13143031), we obtain a square (108900 = 3302).

The spelling of 13034131 in words is "thirteen million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 11 53 79 283 583 869 3113 4187 14999 22357 46057 164989 245927 1184921 13034131