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21210111200 = 2552174336269
BaseRepresentation
bin10011110000001110…
…001001110011100000
32000202011120021202002
4103300032021303200
5321414242024300
613424354143132
71350414653615
oct236016116340
960664507662
1021210111200
118aa4611523
12413b281aa8
1320002cc475
141052cc850c
158421025d5
hex4f0389ce0

21210111200 has 144 divisors (see below), whose sum is σ = 56101565520. Its totient is φ = 7799070720.

The previous prime is 21210111173. The next prime is 21210111229. The reversal of 21210111200 is 211101212.

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, 566666 + ... + 602934.

It is an arithmetic number, because the mean of its divisors is an integer number (389594205).

Almost surely, 221210111200 is an apocalyptic number.

21210111200 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 21210111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050782760).

21210111200 is an abundant number, since it is smaller than the sum of its proper divisors (34891454320).

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

21210111200 is a wasteful number, since it uses less digits than its factorization.

21210111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36349 (or 36336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21210111200 its reverse (211101212), we get a palindrome (21421212412).

The spelling of 21210111200 in words is "twenty-one billion, two hundred ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 43 50 68 80 85 86 100 136 160 170 172 200 215 272 340 344 400 425 430 544 680 688 731 800 850 860 1075 1360 1376 1462 1700 1720 2150 2720 2924 3400 3440 3655 4300 5848 6800 6880 7310 8600 11696 13600 14620 17200 18275 23392 29240 34400 36269 36550 58480 72538 73100 116960 145076 146200 181345 290152 292400 362690 580304 584800 616573 725380 906725 1160608 1233146 1450760 1559567 1813450 2466292 2901520 3082865 3119134 3626900 4932584 5803040 6165730 6238268 7253800 7797835 9865168 12331460 12476536 14507600 15414325 15595670 19730336 24662920 24953072 26512639 29015200 30828650 31191340 38989175 49325840 49906144 53025278 61657300 62382680 77978350 98651680 106050556 123314600 124765360 132563195 155956700 212101112 246629200 249530720 265126390 311913400 424202224 493258400 530252780 623826800 662815975 848404448 1060505560 1247653600 1325631950 2121011120 2651263900 4242022240 5302527800 10605055600 21210111200