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13812123 = 313794483
BaseRepresentation
bin110100101100…
…000110011011
3221222201200010
4310230012123
512013441443
61212013003
7225254403
oct64540633
927881603
1013812123
117884286
124761163
132b27a70
141b97803
15132c733
hexd2c19b

13812123 has 16 divisors (see below), whose sum is σ = 20088320. Its totient is φ = 8390304.

The previous prime is 13812101. The next prime is 13812157. The reversal of 13812123 is 32121831.

13812123 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13812123 - 26 = 13812059 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13812123.

It is not an unprimeable number, because it can be changed into a prime (13812163) 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, 840 + ... + 5322.

It is an arithmetic number, because the mean of its divisors is an integer number (1255520).

Almost surely, 213812123 is an apocalyptic number.

13812123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13812123 is a deficient number, since it is larger than the sum of its proper divisors (6276197).

13812123 is a wasteful number, since it uses less digits than its factorization.

13812123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578.

The product of its digits is 288, while the sum is 21.

The square root of 13812123 is about 3716.4664669549. The cubic root of 13812123 is about 239.9312476676.

Adding to 13812123 its reverse (32121831), we get a palindrome (45933954).

The spelling of 13812123 in words is "thirteen million, eight hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 13 39 79 237 1027 3081 4483 13449 58279 174837 354157 1062471 4604041 13812123