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12324031400 = 2352293168543
BaseRepresentation
bin10110111101001000…
…11100101110101000
31011210212211122212102
423132210130232220
5200214423001100
65354522432532
7614254352462
oct133644345650
934725748772
1012324031400
11525465a21a
12247b362748
131215327995
1484ca89132
154c1e29cd5
hex2de91cba8

12324031400 has 96 divisors (see below), whose sum is σ = 30598041600. Its totient is φ = 4606022400.

The previous prime is 12324031393. The next prime is 12324031411. The reversal of 12324031400 is 413042321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145529 + ... + 214071.

It is an arithmetic number, because the mean of its divisors is an integer number (318729600).

Almost surely, 212324031400 is an apocalyptic number.

12324031400 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 12324031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

12324031400 is an abundant number, since it is smaller than the sum of its proper divisors (18274010200).

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

12324031400 is a wasteful number, since it uses less digits than its factorization.

12324031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68619 (or 68610 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12324031400 its reverse (413042321), we get a palindrome (12737073721).

The spelling of 12324031400 in words is "twelve billion, three hundred twenty-four million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 145 155 200 232 248 290 310 580 620 725 775 899 1160 1240 1450 1550 1798 2900 3100 3596 4495 5800 6200 7192 8990 17980 22475 35960 44950 68543 89900 137086 179800 274172 342715 548344 685430 1370860 1713575 1987747 2124833 2741720 3427150 3975494 4249666 6854300 7950988 8499332 9938735 10624165 13708600 15901976 16998664 19877470 21248330 39754940 42496660 49693675 53120825 61620157 79509880 84993320 99387350 106241650 123240314 198774700 212483300 246480628 308100785 397549400 424966600 492961256 616201570 1232403140 1540503925 2464806280 3081007850 6162015700 12324031400