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11232013 = 133147593
BaseRepresentation
bin101010110110…
…001100001101
3210010122102111
4222312030031
510333411023
61040424021
7164320252
oct52661415
923118374
1011232013
116381861
123918011
132433580
1416c5429
15ebd00d
hexab630d

11232013 has 16 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 9803520.

The previous prime is 11231993. The next prime is 11232017. The reversal of 11232013 is 31023211.

11232013 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 11232013 - 29 = 11231501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11231984 and 11232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232017) 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, 18645 + ... + 19237.

It is an arithmetic number, because the mean of its divisors is an integer number (798336).

Almost surely, 211232013 is an apocalyptic number.

11232013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11232013 is a deficient number, since it is larger than the sum of its proper divisors (1541363).

11232013 is a wasteful number, since it uses less digits than its factorization.

11232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11232013 is about 3351.4195499818. The cubic root of 11232013 is about 223.9507558097.

Adding to 11232013 its reverse (31023211), we get a palindrome (42255224).

It can be divided in two parts, 1123 and 2013, that added together give a square (3136 = 562).

The spelling of 11232013 in words is "eleven million, two hundred thirty-two thousand, thirteen".

Divisors: 1 13 31 47 403 593 611 1457 7709 18383 18941 27871 238979 362323 864001 11232013