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23201121200 = 2452239472663
BaseRepresentation
bin10101100110111001…
…010000001110110000
32012212221000002000012
4111212321100032300
5340003441334300
614354120314052
71450642163525
oct254671201660
965787002005
1023201121200
119926478834
1245b6012928
1322599498aa
1411a14c314c
1590bcdb435
hex566e503b0

23201121200 has 120 divisors (see below), whose sum is σ = 58247486208. Its totient is φ = 8864247040.

The previous prime is 23201121193. The next prime is 23201121211. The reversal of 23201121200 is 212110232.

It is a happy 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, 8711069 + ... + 8713731.

Almost surely, 223201121200 is an apocalyptic number.

23201121200 is a gapful number since it is divisible by the number (20) 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 23201121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123743104).

23201121200 is an abundant number, since it is smaller than the sum of its proper divisors (35046365008).

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

23201121200 is a wasteful number, since it uses less digits than its factorization.

23201121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 23201121200 its reverse (212110232), we get a palindrome (23413231432).

The spelling of 23201121200 in words is "twenty-three billion, two hundred one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 947 1150 1840 1894 2300 2663 3788 4600 4735 5326 7576 9200 9470 10652 13315 15152 18940 21304 21781 23675 26630 37880 42608 43562 47350 53260 61249 66575 75760 87124 94700 106520 108905 122498 133150 174248 189400 213040 217810 244996 266300 306245 348496 378800 435620 489992 532600 544525 612490 871240 979984 1065200 1089050 1224980 1531225 1742480 2178100 2449960 2521861 3062450 4356200 4899920 5043722 6124900 8712400 10087444 12249800 12609305 20174888 24499600 25218610 40349776 50437220 58002803 63046525 100874440 116005606 126093050 201748880 232011212 252186100 290014015 464022424 504372200 580028030 928044848 1008744400 1160056060 1450070075 2320112120 2900140150 4640224240 5800280300 11600560600 23201121200