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212010220110020 = 225100910505957389
BaseRepresentation
bin110000001101001001111001…
…110110111100000011000100
31000210122222102202122112200012
4300031021321312330003010
5210242033412322010040
62030524052304005352
762441142615664253
oct6015117166740304
91023588382575605
10212010220110020
116160a036180072
121b941001900858
13913b62a144737
143a4d4c6aa079a
151979d1434a865
hexc0d279dbc0c4

212010220110020 has 24 divisors (see below), whose sum is σ = 445662712483800. Its totient is φ = 84720040376832.

The previous prime is 212010220110001. The next prime is 212010220110113. The reversal of 212010220110020 is 20011022010212.

It can be written as a sum of positive squares in 4 ways, for example, as 64084251709696 + 147925968400324 = 8005264^2 + 12162482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212010220109977 and 212010220110004.

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, 5252958515 + ... + 5252998874.

It is an arithmetic number, because the mean of its divisors is an integer number (18569279686825).

Almost surely, 2212010220110020 is an apocalyptic number.

212010220110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010220110020 is an abundant number, since it is smaller than the sum of its proper divisors (233652492373780).

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

212010220110020 is a wasteful number, since it uses less digits than its factorization.

212010220110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505958407 (or 10505958405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212010220110020 its reverse (20011022010212), we get a palindrome (232021242120232).

The spelling of 212010220110020 in words is "two hundred twelve trillion, ten billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1009 2018 4036 5045 10090 20180 10505957389 21011914778 42023829556 52529786945 105059573890 210119147780 10600511005501 21201022011002 42402044022004 53002555027505 106005110055010 212010220110020