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212001100221220 = 22528517371710033
BaseRepresentation
bin110000001101000001011010…
…010001010100101100100100
31000210122002220011222012010221
4300031001122101110230210
5210241411223124034340
62030515543321054124
762440400616134212
oct6015013221245444
91023562804865127
10212001100221220
1161606186243692
121b93b297627344
13913a8058a902b
143a4cc9d79bcb2
15197997d88b44a
hexc0d05a454b24

212001100221220 has 24 divisors (see below), whose sum is σ = 445217923483704. Its totient is φ = 84797466180096.

The previous prime is 212001100221187. The next prime is 212001100221241. The reversal of 212001100221220 is 22122001100212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29045610802404 + 182955489418816 = 5389398^2 + 13526104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212001100221194 and 212001100221203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185284677 + ... + 186425356.

It is an arithmetic number, because the mean of its divisors is an integer number (18550746811821).

Almost surely, 2212001100221220 is an apocalyptic number.

212001100221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001100221220 is an abundant number, since it is smaller than the sum of its proper divisors (233216823262484).

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

212001100221220 is a wasteful number, since it uses less digits than its factorization.

212001100221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371738559 (or 371738557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212001100221220 its reverse (22122001100212), we get a palindrome (234123101321432).

The spelling of 212001100221220 in words is "two hundred twelve trillion, one billion, one hundred million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 28517 57034 114068 142585 285170 570340 371710033 743420066 1486840132 1858550165 3717100330 7434200660 10600055011061 21200110022122 42400220044244 53000275055305 106000550110610 212001100221220