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212021200220020 = 22517721618641673
BaseRepresentation
bin110000001101010100001000…
…010100101110111101110100
31000210201000202222122220221221
4300031110020110232331310
5210242223404224020040
62030533110021520124
762442011664246622
oct6015241024567564
91023630688586857
10212021200220020
1161613760163244
121b943166b73044
13913c689bc6a49
143a4dc49074512
15197a2582ab74a
hexc0d50852ef74

212021200220020 has 48 divisors (see below), whose sum is σ = 471441962266128. Its totient is φ = 79818630594560.

The previous prime is 212021200219991. The next prime is 212021200220021. The reversal of 212021200220020 is 20022002120212.

It can be written as a sum of positive squares in 8 ways, for example, as 625070496996 + 211396129723024 = 790614^2 + 14539468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212021200219976 and 212021200220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021200220021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20213904 + ... + 28855576.

It is an arithmetic number, because the mean of its divisors is an integer number (9821707547211).

Almost surely, 2212021200220020 is an apocalyptic number.

212021200220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021200220020 is an abundant number, since it is smaller than the sum of its proper divisors (259420762046108).

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

212021200220020 is a wasteful number, since it uses less digits than its factorization.

212021200220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713860 (or 8713858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212021200220020 its reverse (20022002120212), we get a palindrome (232043202340232).

The spelling of 212021200220020 in words is "two hundred twelve trillion, twenty-one billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 72161 144322 288644 360805 721610 1226737 1443220 2453474 4906948 6133685 8641673 12267370 17283346 24534740 34566692 43208365 86416730 146908441 172833460 293816882 587633764 734542205 1469084410 2938168820 623591765353 1247183530706 2494367061412 3117958826765 6235917653530 10601060011001 12471835307060 21202120022002 42404240044004 53005300055005 106010600110010 212021200220020