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212220021212100 = 2232521123099283831
BaseRepresentation
bin110000010000001101010010…
…111110101000001111000100
31000211102000222011102210122100
4300100031102332220033010
5210304003100412241400
62031204310513432100
762462250650636016
oct6020152276501704
91024360864383570
10212220021212100
1161690007456330
121b9757b386b630
139155353b915a5
143a5970a72c1b6
1519804e2e90100
hexc10352fa83c4

212220021212100 has 216 divisors, whose sum is σ = 725978208795840. Its totient is φ = 51424991136000.

The previous prime is 212220021212047. The next prime is 212220021212117. The reversal of 212220021212100 is 1212120022212.

It is a happy number.

212220021212100 is a `hidden beast` number, since 21 + 2 + 220 + 0 + 212 + 1 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18217185 + ... + 27501015.

Almost surely, 2212220021212100 is an apocalyptic number.

212220021212100 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 212220021212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362989104397920).

212220021212100 is an abundant number, since it is smaller than the sum of its proper divisors (513758187583740).

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

212220021212100 is a wasteful number, since it uses less digits than its factorization.

212220021212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286171 (or 9286161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212220021212100 its reverse (1212120022212), we get a palindrome (213432141234312).

The spelling of 212220021212100 in words is "two hundred twelve trillion, two hundred twenty billion, twenty-one million, two hundred twelve thousand, one hundred".