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211200111112020 = 223526943929807537
BaseRepresentation
bin110000000001010111011011…
…100110010110111101010100
31000200210112101212122111102020
4300001113123212112331110
5210140300311421041040
62025103554104413140
762325463432060662
oct6001273346267524
91020715355574366
10211200111112020
1161327511824578
121b82bbb5a771b0
1390b0114a36654
143a221d5d21c32
151963bed819cd0
hexc015db996f54

211200111112020 has 96 divisors (see below), whose sum is σ = 594910766419200. Its totient is φ = 55982844893184.

The previous prime is 211200111112019. The next prime is 211200111112171. The reversal of 211200111112020 is 20211111002112.

It is a happy number.

211200111112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7818309 + ... + 21989228.

It is an arithmetic number, because the mean of its divisors is an integer number (6196987150200).

Almost surely, 2211200111112020 is an apocalyptic number.

211200111112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200111112020 is an abundant number, since it is smaller than the sum of its proper divisors (383710655307180).

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

211200111112020 is a wasteful number, since it uses less digits than its factorization.

211200111112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29808257 (or 29808255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211200111112020 its reverse (20211111002112), we get a palindrome (231411222114132).

The spelling of 211200111112020 in words is "two hundred eleven trillion, two hundred billion, one hundred eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 269 439 538 807 878 1076 1317 1345 1614 1756 2195 2634 2690 3228 4035 4390 5268 5380 6585 8070 8780 13170 16140 26340 118091 236182 354273 472364 590455 708546 1180910 1417092 1771365 2361820 3542730 7085460 29807537 59615074 89422611 119230148 149037685 178845222 298075370 357690444 447113055 596150740 894226110 1788452220 8018227453 13085508743 16036454906 24054682359 26171017486 32072909812 39256526229 40091137265 48109364718 52342034972 65427543715 78513052458 80182274530 96218729436 120273411795 130855087430 157026104916 160364549060 196282631145 240546823590 261710174860 392565262290 481093647180 785130524580 3520001851867 7040003703734 10560005555601 14080007407468 17600009259335 21120011111202 35200018518670 42240022222404 52800027778005 70400037037340 105600055556010 211200111112020