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212201220020 = 22510610061001
BaseRepresentation
bin1100010110100000101…
…1011010011110110100
3202021201200000212211012
43011220023122132310
511434042003020040
6241252304331352
721221354416016
oct3055013323664
9667650025735
10212201220020
1181aa3069409
1235161913b58
131701a0773aa
14a3b071c1b6
1557be6e0865
hex31682da7b4

212201220020 has 12 divisors (see below), whose sum is σ = 445622562084. Its totient is φ = 84880488000.

The previous prime is 212201220013. The next prime is 212201220029. The reversal of 212201220020 is 20022102212.

212201220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 169470542224 + 42730677796 = 411668^2 + 206714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212201219977 and 212201220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201220029) 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 3 ways as a sum of consecutive naturals, for example, 5305030481 + ... + 5305030520.

It is an arithmetic number, because the mean of its divisors is an integer number (37135213507).

Almost surely, 2212201220020 is an apocalyptic number.

212201220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201220020 is an abundant number, since it is smaller than the sum of its proper divisors (233421342064).

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

212201220020 is a wasteful number, since it uses less digits than its factorization.

212201220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610061010 (or 10610061008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212201220020 its reverse (20022102212), we get a palindrome (232223322232).

The spelling of 212201220020 in words is "two hundred twelve billion, two hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 10610061001 21220122002 42440244004 53050305005 106100610010 212201220020