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13123044 = 223211311069
BaseRepresentation
bin110010000011…
…110111100100
3220200201102200
4302003313210
511324414134
61145134500
7216354414
oct62036744
926621380
1013123044
1174535a0
12448a430
13294621c
141a58644
151243499
hexc83de4

13123044 has 72 divisors (see below), whose sum is σ = 37390080. Its totient is φ = 3844800.

The previous prime is 13123039. The next prime is 13123057. The reversal of 13123044 is 44032131.

13123044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11742 + ... + 12810.

Almost surely, 213123044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695040).

13123044 is an abundant number, since it is smaller than the sum of its proper divisors (24267036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123044 is a wasteful number, since it uses less digits than its factorization.

13123044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13123044 is about 3622.5742228421. The cubic root of 13123044 is about 235.8729805804.

Adding to 13123044 its reverse (44032131), we get a palindrome (57155175).

It can be divided in two parts, 1312 and 3044, that added together give a square (4356 = 662).

The spelling of 13123044 in words is "thirteen million, one hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1069 1116 1364 2046 2138 3069 3207 4092 4276 6138 6414 9621 11759 12276 12828 19242 23518 33139 35277 38484 47036 66278 70554 99417 105831 132556 141108 198834 211662 298251 364529 397668 423324 596502 729058 1093587 1193004 1458116 2187174 3280761 4374348 6561522 13123044