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212102112020020 = 22568797715414913
BaseRepresentation
bin110000001110011111011111…
…000010110000011000110100
31000210222202121212111020102021
4300032133133002300120310
5210300040111134120040
62031034210510322524
762450605030224355
oct6016373702603064
91023882555436367
10212102112020020
1161645000821142
121b9569881b9444
1391471b2bc7191
143a53b22d5bd2c
15197c3e183824a
hexc0e7df0b0634

212102112020020 has 24 divisors (see below), whose sum is σ = 445415111563464. Its totient is φ = 84840715984896.

The previous prime is 212102112019999. The next prime is 212102112020063. The reversal of 212102112020020 is 20020211201212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 518497924624 + 211583614095396 = 720068^2 + 14545914^2 .

It is a super-2 number, since 2×2121021120200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212102112019976 and 212102112020003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6052084 + ... + 21466996.

It is an arithmetic number, because the mean of its divisors is an integer number (18558962981811).

Almost surely, 2212102112020020 is an apocalyptic number.

212102112020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102112020020 is an abundant number, since it is smaller than the sum of its proper divisors (233312999543444).

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

212102112020020 is a wasteful number, since it uses less digits than its factorization.

212102112020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16102899 (or 16102897 counting only the distinct ones).

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

Adding to 212102112020020 its reverse (20020211201212), we get a palindrome (232122323221232).

The spelling of 212102112020020 in words is "two hundred twelve trillion, one hundred two billion, one hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 687977 1375954 2751908 3439885 6879770 13759540 15414913 30829826 61659652 77074565 154149130 308298260 10605105601001 21210211202002 42420422404004 53025528005005 106051056010010 212102112020020