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212100022110200 = 2352733091837057
BaseRepresentation
bin110000001110011101100010…
…011110011000011111111000
31000210222120020012221211002212
4300032131202132120133320
5210300021321130011300
62031033223252314252
762450502162254000
oct6016354236303770
91023876205854085
10212100022110200
1161644129054a44
121b9564a4312988
139146c3bc2cc53
143a539a557b000
15197c31d115935
hexc0e7627987f8

212100022110200 has 96 divisors (see below), whose sum is σ = 575081692788000. Its totient is φ = 72720007557120.

The previous prime is 212100022110191. The next prime is 212100022110203. The reversal of 212100022110200 is 2011220001212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100022110203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545849929 + ... + 1545987128.

It is an arithmetic number, because the mean of its divisors is an integer number (5990434299875).

Almost surely, 2212100022110200 is an apocalyptic number.

212100022110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100022110200 is an abundant number, since it is smaller than the sum of its proper divisors (362981670677800).

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

212100022110200 is a wasteful number, since it uses less digits than its factorization.

212100022110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091837094 (or 3091837071 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100022110200 its reverse (2011220001212), we get a palindrome (214111242111412).

The spelling of 212100022110200 in words is "two hundred twelve trillion, one hundred billion, twenty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 34300 68600 3091837057 6183674114 12367348228 15459185285 21642859399 24734696456 30918370570 43285718798 61836741140 77295926425 86571437596 108214296995 123673482280 151500015793 154591852850 173142875192 216428593990 303000031586 309183705700 432857187980 541071484975 606000063172 618367411400 757500078965 865714375960 1060500110551 1082142969950 1212000126344 1515000157930 2121000221102 2164285939900 3030000315860 3787500394825 4242000442204 4328571879800 5302500552755 6060000631720 7575000789650 8484000884408 10605001105510 15150001579300 21210002211020 26512502763775 30300003158600 42420004422040 53025005527550 106050011055100 212100022110200