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13123341 = 3271129653
BaseRepresentation
bin110010000011…
…111100001101
3220200201211200
4302003330031
511324421331
61145140113
7216355320
oct62037415
926621750
1013123341
117453840
12448a639
1329463ba
141a587b7
1512435e6
hexc83f0d

13123341 has 48 divisors (see below), whose sum is σ = 24485760. Its totient is φ = 6572160.

The previous prime is 13123339. The next prime is 13123343. The reversal of 13123341 is 14332131.

13123341 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13123339) and next prime (13123343).

It is not a de Polignac number, because 13123341 - 21 = 13123339 is a prime.

13123341 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19771 + ... + 20423.

It is an arithmetic number, because the mean of its divisors is an integer number (510120).

Almost surely, 213123341 is an apocalyptic number.

13123341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13123341 is a deficient number, since it is larger than the sum of its proper divisors (11362419).

13123341 is a wasteful number, since it uses less digits than its factorization.

13123341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13123341 is about 3622.6152155591. The cubic root of 13123341 is about 235.8747599884.

Adding to 13123341 its reverse (14332131), we get a palindrome (27455472).

The spelling of 13123341 in words is "thirteen million, one hundred twenty-three thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 231 261 319 609 653 693 957 1827 1959 2233 2871 4571 5877 6699 7183 13713 18937 20097 21549 41139 50281 56811 64647 132559 150843 170433 208307 397677 452529 624921 1193031 1458149 1874763 4374447 13123341