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12311325 = 3352132361
BaseRepresentation
bin101110111101…
…101100011101
3212011110222000
4232331230131
511122430300
61115512513
7206434035
oct56755435
925143860
1012311325
116a49754
124158739
132720910
1418c68c5
151132c00
hexbbdb1d

12311325 has 96 divisors (see below), whose sum is σ = 25831680. Its totient is φ = 5702400.

The previous prime is 12311311. The next prime is 12311333. The reversal of 12311325 is 52311321.

12311325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12311325 - 26 = 12311261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12311298 and 12311307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201795 + ... + 201855.

It is an arithmetic number, because the mean of its divisors is an integer number (269080).

Almost surely, 212311325 is an apocalyptic number.

12311325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12311325 is an abundant number, since it is smaller than the sum of its proper divisors (13520355).

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

12311325 is a wasteful number, since it uses less digits than its factorization.

12311325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12311325 is about 3508.7497773424. The cubic root of 12311325 is about 230.9058479518.

Adding to 12311325 its reverse (52311321), we get a palindrome (64622646).

It can be divided in two parts, 1231 and 1325, that added together give a triangular number (2556 = T71).

The spelling of 12311325 in words is "twelve million, three hundred eleven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 23 25 27 39 45 61 65 69 75 115 117 135 183 195 207 225 299 305 325 345 351 549 575 585 621 675 793 897 915 975 1035 1403 1495 1525 1647 1725 1755 2379 2691 2745 2925 3105 3965 4209 4485 4575 5175 7015 7137 7475 8073 8235 8775 11895 12627 13455 13725 15525 18239 19825 21045 21411 22425 35075 35685 37881 40365 41175 54717 59475 63135 67275 91195 105225 107055 164151 178425 189405 201825 273585 315675 455975 492453 535275 820755 947025 1367925 2462265 4103775 12311325