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212010112020020 = 22515017705900353
BaseRepresentation
bin110000001101001001110011…
…011010100110111000110100
31000210122222011020021000001212
4300031021303122212320310
5210242033202134120040
62030524033443140552
762441140134146126
oct6015116332467064
91023588136230055
10212010112020020
1161609a90163496
121b940b91674758
13913b61092a862
143a4d4b65a5216
151979d09ae8d65
hexc0d2736a6e34

212010112020020 has 24 divisors (see below), whose sum is σ = 445250883687624. Its totient is φ = 84798397485056.

The previous prime is 212010112020019. The next prime is 212010112020041. The reversal of 212010112020020 is 20020211010212.

It can be written as a sum of positive squares in 4 ways, for example, as 71767532151184 + 140242579868836 = 8471572^2 + 11842406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212010112019977 and 212010112020004.

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, 352649837 + ... + 353250516.

It is an arithmetic number, because the mean of its divisors is an integer number (18552120153651).

Almost surely, 2212010112020020 is an apocalyptic number.

212010112020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010112020020 is an abundant number, since it is smaller than the sum of its proper divisors (233240771667604).

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

212010112020020 is a wasteful number, since it uses less digits than its factorization.

212010112020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705915379 (or 705915377 counting only the distinct ones).

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

Adding to 212010112020020 its reverse (20020211010212), we get a palindrome (232030323030232).

The spelling of 212010112020020 in words is "two hundred twelve trillion, ten billion, one hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 15017 30034 60068 75085 150170 300340 705900353 1411800706 2823601412 3529501765 7059003530 14118007060 10600505601001 21201011202002 42402022404004 53002528005005 106005056010010 212010112020020