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12381300 = 22325213757
BaseRepresentation
bin101111001110…
…110001110100
3212022000221200
4233032301310
511132200200
61121212500
7210145041
oct57166164
925260850
1012381300
116a97288
124191130
132746719
1419041c8
151148800
hexbcec74

12381300 has 54 divisors (see below), whose sum is σ = 38811318. Its totient is φ = 3301440.

The previous prime is 12381227. The next prime is 12381319. The reversal of 12381300 is 318321.

It can be written as a sum of positive squares in 3 ways, for example, as 19044 + 12362256 = 138^2 + 3516^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5979 + ... + 7778.

Almost surely, 212381300 is an apocalyptic number.

12381300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12381300 is an abundant number, since it is smaller than the sum of its proper divisors (26430018).

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

12381300 is a wasteful number, since it uses less digits than its factorization.

12381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13777 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12381300 is about 3518.7071489398. The cubic root of 12381300 is about 231.3424952609.

Adding to 12381300 its reverse (318321), we get a palindrome (12699621).

The spelling of 12381300 in words is "twelve million, three hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13757 27514 41271 55028 68785 82542 123813 137570 165084 206355 247626 275140 343925 412710 495252 619065 687850 825420 1031775 1238130 1375700 2063550 2476260 3095325 4127100 6190650 12381300