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36113 = 721167
BaseRepresentation
bin1000110100010001
31211112112
420310101
52123423
6435105
7210200
oct106421
954475
1036113
1125150
1218a95
131358c
14d237
15aa78
hex8d11

36113 has 12 divisors (see below), whose sum is σ = 46512. Its totient is φ = 27720.

The previous prime is 36109. The next prime is 36131. The reversal of 36113 is 31163.

Adding to 36113 its reverse (31163), we get a palindrome (67276).

Subtracting from 36113 its reverse (31163), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 3 and 6113, that added together give a palindrome (6116).

It is not a de Polignac number, because 36113 - 22 = 36109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (36013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (3876).

236113 is an apocalyptic number.

It is an amenable number.

36113 is a deficient number, since it is larger than the sum of its proper divisors (10399).

36113 is a wasteful number, since it uses less digits than its factorization.

36113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its digits is 54, while the sum is 14.

The square root of 36113 is about 190.0342074470. The cubic root of 36113 is about 33.0537843470.

The spelling of 36113 in words is "thirty-six thousand, one hundred thirteen".

Divisors: 1 7 11 49 67 77 469 539 737 3283 5159 36113