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12031323400 = 23521631812039
BaseRepresentation
bin10110011010001111…
…10110110100001000
31011001111001112222101
423031013312310020
5144120004322100
65305505003144
7604101363415
oct131507666410
934044045871
1012031323400
115114406388
1223b93234b4
1311997b0c95
14821c5310c
154a63ab86a
hex2cd1f6d08

12031323400 has 96 divisors (see below), whose sum is σ = 28313812800. Its totient is φ = 4754246400.

The previous prime is 12031323383. The next prime is 12031323427. The reversal of 12031323400 is 432313021.

12031323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5899581 + ... + 5901619.

It is an arithmetic number, because the mean of its divisors is an integer number (294935550).

Almost surely, 212031323400 is an apocalyptic number.

12031323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156906400).

12031323400 is an abundant number, since it is smaller than the sum of its proper divisors (16282489400).

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

12031323400 is a wasteful number, since it uses less digits than its factorization.

12031323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12031323400 its reverse (432313021), we get a palindrome (12463636421).

The spelling of 12031323400 in words is "twelve billion, thirty-one million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 181 200 326 362 652 724 815 905 1304 1448 1630 1810 2039 3260 3620 4075 4078 4525 6520 7240 8150 8156 9050 10195 16300 16312 18100 20390 29503 32600 36200 40780 50975 59006 81560 101950 118012 147515 203900 236024 295030 332357 369059 407800 590060 664714 737575 738118 1180120 1329428 1475150 1476236 1661785 1845295 2658856 2950300 2952472 3323570 3690590 5900600 6647140 7381180 8308925 9226475 13294280 14762360 16617850 18452950 33235700 36905900 60156617 66471400 73811800 120313234 240626468 300783085 481252936 601566170 1203132340 1503915425 2406264680 3007830850 6015661700 12031323400