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212000001020020 = 225193152783359479
BaseRepresentation
bin110000001101000000011000…
…110000001101000001110100
31000210122000001120121222120101
4300031000120300031001310
5210241402000230120040
62030515242253243444
762440331441106043
oct6015003060150164
91023560046558511
10212000001020020
1161605771824544
121b93b02b493584
13913a68bc47b15
143a4cbd77ca55a
15197991711209a
hexc0d018c0d074

212000001020020 has 48 divisors (see below), whose sum is σ = 447510911823360. Its totient is φ = 84359835334656.

The previous prime is 212000001019987. The next prime is 212000001020033. The reversal of 212000001020020 is 20020100000212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212000001019979 and 212000001020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589562641 + ... + 589922119.

It is an arithmetic number, because the mean of its divisors is an integer number (9323143996320).

Almost surely, 2212000001020020 is an apocalyptic number.

212000001020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000001020020 is an abundant number, since it is smaller than the sum of its proper divisors (235510910803340).

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

212000001020020 is a wasteful number, since it uses less digits than its factorization.

212000001020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512464 (or 512462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212000001020020 its reverse (20020100000212), we get a palindrome (232020101020232).

The spelling of 212000001020020 in words is "two hundred twelve trillion, one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 152783 305566 359479 611132 718958 763915 1437916 1527830 1797395 3055660 3594790 7189580 29487119 58974238 69379447 117948476 138758894 147435595 277517788 294871190 346897235 589742380 693794470 1387588940 54922280057 109844560114 219689120228 274611400285 549222800570 1098445601140 10600000051001 21200000102002 42400000204004 53000000255005 106000000510010 212000001020020