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212110001122200 = 233521198312950127
BaseRepresentation
bin110000001110100110110101…
…010001010010101110011000
31000211000111222200020011002220
4300032212311101102232120
5210300202240241402300
62031041553405224040
762451304363413306
oct6016466521225630
91024014880204086
10212110001122200
1161648389a343a5
121b95840a262020
139147b6c47c38c
143a542709d9276
15197c704229da0
hexc0e9b5452b98

212110001122200 has 96 divisors (see below), whose sum is σ = 657546713602560. Its totient is φ = 56562175772800.

The previous prime is 212110001122099. The next prime is 212110001122219. The reversal of 212110001122200 is 2221100011212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212110001122200.

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, 70423537 + ... + 73373663.

It is an arithmetic number, because the mean of its divisors is an integer number (6849444933360).

Almost surely, 2212110001122200 is an apocalyptic number.

212110001122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110001122200 is an abundant number, since it is smaller than the sum of its proper divisors (445436712480360).

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

212110001122200 is a wasteful number, since it uses less digits than its factorization.

212110001122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069977 (or 3069968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212110001122200 its reverse (2221100011212), we get a palindrome (214331101133412).

The spelling of 212110001122200 in words is "two hundred twelve trillion, one hundred ten billion, one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 119831 239662 359493 479324 599155 718986 958648 1198310 1437972 1797465 2396620 2875944 2950127 2995775 3594930 4793240 5900254 5991550 7189860 8850381 8987325 11800508 11983100 14379720 14750635 17700762 17974650 23601016 23966200 29501270 35401524 35949300 44251905 59002540 70803048 71898600 73753175 88503810 118005080 147506350 177007620 221259525 295012700 354015240 442519050 590025400 885038100 1770076200 353516668537 707033337074 1060550005611 1414066674148 1767583342685 2121100011222 2828133348296 3535166685370 4242200022444 5302750028055 7070333370740 8484400044888 8837916713425 10605500056110 14140666741480 17675833426850 21211000112220 26513750140275 35351666853700 42422000224440 53027500280550 70703333707400 106055000561100 212110001122200