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212220021111100 = 225216324097540301
BaseRepresentation
bin110000010000001101010010…
…111110001111100100111100
31000211102000222011020200002121
4300100031102332033210330
5210304003100401023400
62031204310511332324
762462250650035402
oct6020152276174474
91024360864220077
10212220021111100
1161690007397462
121b9757b38210a4
139155353b57622
143a5970a703472
1519804e2e7021a
hexc10352f8f93c

212220021111100 has 72 divisors (see below), whose sum is σ = 463362792046448. Its totient is φ = 84363565824000.

The previous prime is 212220021111083. The next prime is 212220021111169. The reversal of 212220021111100 is 1111120022212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392510950 + ... + 393051250.

Almost surely, 2212220021111100 is an apocalyptic number.

212220021111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220021111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231681396023224).

212220021111100 is an abundant number, since it is smaller than the sum of its proper divisors (251142770935348).

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

212220021111100 is a wasteful number, since it uses less digits than its factorization.

212220021111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564575 (or 564568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212220021111100 its reverse (1111120022212), we get a palindrome (213331141133312).

The spelling of 212220021111100 in words is "two hundred twelve trillion, two hundred twenty billion, twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 16300 24097 48194 96388 120485 240970 481940 540301 602425 1080602 1204850 2161204 2409700 2701505 3927811 5403010 7855622 10806020 13507525 15711244 19639055 27015050 39278110 54030100 78556220 88069063 98195275 176138126 196390550 352276252 392781100 440345315 880690630 1761381260 2201726575 4403453150 8806906300 13019633197 26039266394 52078532788 65098165985 130196331970 260392663940 325490829925 650981659850 1301963319700 2122200211111 4244400422222 8488800844444 10611001055555 21222002111110 42444004222220 53055005277775 106110010555550 212220021111100