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212100212222220 = 223571972792559829
BaseRepresentation
bin110000001110011101101101…
…110011100110100100001100
31000210222120201110200111202210
4300032131231303212210030
5210300022213312102340
62031033254203150420
762450506661216310
oct6016355563464414
91023876643614683
10212100212222220
11616442163a3a13
121b956537b15410
139146c6c43467a
143a539c2907b40
15197c32eb6a180
hexc0e76dce690c

212100212222220 has 96 divisors (see below), whose sum is σ = 678724384665600. Its totient is φ = 48479783825664.

The previous prime is 212100212222191. The next prime is 212100212222287. The reversal of 212100212222220 is 22222212001212.

212100212222220 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 (21).

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, 81577266 + ... + 84137094.

It is an arithmetic number, because the mean of its divisors is an integer number (7070045673600).

Almost surely, 2212100212222220 is an apocalyptic number.

212100212222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100212222220 is an abundant number, since it is smaller than the sum of its proper divisors (466624172443380).

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

212100212222220 is a wasteful number, since it uses less digits than its factorization.

212100212222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757127 (or 2757125 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 212100212222220 its reverse (22222212001212), we get a palindrome (234322424223432).

The spelling of 212100212222220 in words is "two hundred twelve trillion, one hundred billion, two hundred twelve million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 197279 394558 591837 789116 986395 1183674 1380953 1972790 2367348 2559829 2761906 2959185 3945580 4142859 5119658 5523812 5918370 6904765 7679487 8285718 10239316 11836740 12799145 13809530 15358974 16571436 17918803 20714295 25598290 27619060 30717948 35837606 38397435 41428590 51196580 53756409 71675212 76794870 82857180 89594015 107512818 153589740 179188030 215025636 268782045 358376060 537564090 1075128180 505000505291 1010001010582 1515001515873 2020002021164 2525002526455 3030003031746 3535003537037 5050005052910 6060006063492 7070007074074 7575007579365 10100010105820 10605010611111 14140014148148 15150015158730 17675017685185 21210021222222 30300030317460 35350035370370 42420042444444 53025053055555 70700070740740 106050106111110 212100212222220