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12233130200 = 2352439671471
BaseRepresentation
bin10110110010010011…
…01100000011011000
31011120112210101212022
423121021230003120
5200023140131300
65341514234012
7612101614424
oct133111540330
934515711768
1012233130200
115208312865
122454a25908
1311cc54b7a5
14840985b84
154b8e71285
hex2d926c0d8

12233130200 has 96 divisors (see below), whose sum is σ = 29153372160. Its totient is φ = 4771267200.

The previous prime is 12233130191. The next prime is 12233130223. The reversal of 12233130200 is 203133221.

It is a congruent number.

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, 8315465 + ... + 8316935.

It is an arithmetic number, because the mean of its divisors is an integer number (303680960).

Almost surely, 212233130200 is an apocalyptic number.

12233130200 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 12233130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14576686080).

12233130200 is an abundant number, since it is smaller than the sum of its proper divisors (16920241960).

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

12233130200 is a wasteful number, since it uses less digits than its factorization.

12233130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12233130200 its reverse (203133221), we get a palindrome (12436263421).

The spelling of 12233130200 in words is "twelve billion, two hundred thirty-three million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 967 1075 1471 1720 1934 2150 2942 3868 4300 4835 5884 7355 7736 8600 9670 11768 14710 19340 24175 29420 36775 38680 41581 48350 58840 63253 73550 83162 96700 126506 147100 166324 193400 207905 253012 294200 316265 332648 415810 506024 632530 831620 1039525 1265060 1422457 1581325 1663240 2079050 2530120 2844914 3162650 4158100 5689828 6325300 7112285 8316200 11379656 12650600 14224570 28449140 35561425 56898280 61165651 71122850 122331302 142245700 244662604 284491400 305828255 489325208 611656510 1223313020 1529141275 2446626040 3058282550 6116565100 12233130200