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12031323000 = 2335323174367
BaseRepresentation
bin10110011010001111…
…10110101101111000
31011001111001112102120
423031013312231320
5144120004314000
65305505001240
7604101362304
oct131507665570
934044045376
1012031323000
115114406054
1223b9323220
1311997b0a48
14821c52d04
154a63ab6a0
hex2cd1f6b78

12031323000 has 128 divisors (see below), whose sum is σ = 39170027520. Its totient is φ = 3068841600.

The previous prime is 12031322993. The next prime is 12031323019. The reversal of 12031323000 is 32313021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18184 + ... + 156183.

It is an arithmetic number, because the mean of its divisors is an integer number (306015840).

Almost surely, 212031323000 is an apocalyptic number.

12031323000 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 12031323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585013760).

12031323000 is an abundant number, since it is smaller than the sum of its proper divisors (27138704520).

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

12031323000 is a wasteful number, since it uses less digits than its factorization.

12031323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174414 (or 174400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12031323000 its reverse (32313021), we get a palindrome (12063636021).

The spelling of 12031323000 in words is "twelve billion, thirty-one million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 174367 348734 523101 697468 871835 1046202 1394936 1743670 2092404 2615505 3487340 4010441 4184808 4359175 5231010 6974680 8020882 8718350 10462020 12031323 13077525 16041764 17436700 20052205 20924040 21795875 24062646 26155050 32083528 34873400 40104410 43591750 48125292 52310100 60156615 65387625 80208820 87183500 96250584 100261025 104620200 120313230 130775250 160417640 174367000 200522050 240626460 261550500 300783075 401044100 481252920 501305125 523101000 601566150 802088200 1002610250 1203132300 1503915375 2005220500 2406264600 3007830750 4010441000 6015661500 12031323000