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212100111220 = 225109268336263
BaseRepresentation
bin1100010110001000100…
…1101101101101110100
3202021110121210000121211
43011202021231231310
511433340112024340
6241234253251204
721216016125124
oct3054211555564
9667417700554
10212100111220
1181a50a8a918
1235133a93b04
1317002135cba
14a3a111cc84
1557b58bc5ea
hex316226db74

212100111220 has 48 divisors (see below), whose sum is σ = 449676501120. Its totient is φ = 84028046976.

The previous prime is 212100111217. The next prime is 212100111229. The reversal of 212100111220 is 22111001212.

212100111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212100111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100111229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5830809 + ... + 5867071.

It is an arithmetic number, because the mean of its divisors is an integer number (9368260440).

Almost surely, 2212100111220 is an apocalyptic number.

212100111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100111220 is an abundant number, since it is smaller than the sum of its proper divisors (237576389900).

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

212100111220 is a wasteful number, since it uses less digits than its factorization.

212100111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39064 (or 39062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212100111220 its reverse (22111001212), we get a palindrome (234211112432).

The spelling of 212100111220 in words is "two hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 2683 5366 10732 13415 26830 36263 53660 72526 145052 181315 292447 362630 584894 725260 1169788 1462235 2924470 3952667 5848940 7905334 15810668 19763335 39526670 79053340 97293629 194587258 389174516 486468145 972936290 1945872580 10605005561 21210011122 42420022244 53025027805 106050055610 212100111220