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212211020020 = 22529365881069
BaseRepresentation
bin1100010110100011000…
…0110011000011110100
3202021202100110202220011
43011220300303003310
511434102010120040
6241253254350004
721221533623316
oct3055060630364
9667670422804
10212211020020
1181aa865228a
123516505b304
131701c0c8bcc
14a3b1b4d7b6
1557c04c93ea
hex3168c330f4

212211020020 has 24 divisors (see below), whose sum is σ = 461010148200. Its totient is φ = 81957359232.

The previous prime is 212211020011. The next prime is 212211020053. The reversal of 212211020020 is 20020112212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35318436624 + 176892583396 = 187932^2 + 420586^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182939955 + ... + 182941114.

It is an arithmetic number, because the mean of its divisors is an integer number (19208756175).

Almost surely, 2212211020020 is an apocalyptic number.

212211020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211020020 is an abundant number, since it is smaller than the sum of its proper divisors (248799128180).

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

212211020020 is a wasteful number, since it uses less digits than its factorization.

212211020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365881107 (or 365881105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212211020020 its reverse (20020112212), we get a palindrome (232231132232).

The spelling of 212211020020 in words is "two hundred twelve billion, two hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 365881069 731762138 1463524276 1829405345 3658810690 7317621380 10610551001 21221102002 42442204004 53052755005 106105510010 212211020020