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211200120020100 = 223523831838121149
BaseRepresentation
bin110000000001010111011100…
…001000010101110010000100
31000200210112102111102002000010
4300001113130020111302010
5210140300321211120400
62025103555023350220
762325463600562031
oct6001273410256204
91020715374362003
10211200120020100
1161327516859322
121b82bbb8a52370
1390b01168351c3
143a221d71a0388
151963bee4c9450
hexc015dc215c84

211200120020100 has 72 divisors (see below), whose sum is σ = 612667836748800. Its totient is φ = 56172982282880.

The previous prime is 211200120020093. The next prime is 211200120020167. The reversal of 211200120020100 is 1020021002112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 918945675 + ... + 919175474.

It is an arithmetic number, because the mean of its divisors is an integer number (8509275510400).

Almost surely, 2211200120020100 is an apocalyptic number.

211200120020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200120020100 is an abundant number, since it is smaller than the sum of its proper divisors (401467716728700).

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

211200120020100 is a wasteful number, since it uses less digits than its factorization.

211200120020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838121549 (or 1838121542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211200120020100 its reverse (1020021002112), we get a palindrome (212220141022212).

The spelling of 211200120020100 in words is "two hundred eleven trillion, two hundred billion, one hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 383 766 1149 1532 1915 2298 3830 4596 5745 7660 9575 11490 19150 22980 28725 38300 57450 114900 1838121149 3676242298 5514363447 7352484596 9190605745 11028726894 18381211490 22057453788 27571817235 36762422980 45953028725 55143634470 91906057450 110287268940 137859086175 183812114900 275718172350 551436344700 704000400067 1408000800134 2112001200201 2816001600268 3520002000335 4224002400402 7040004000670 8448004800804 10560006001005 14080008001340 17600010001675 21120012002010 35200020003350 42240024004020 52800030005025 70400040006700 105600060010050 211200120020100