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212021220220020 = 2232510691110176379
BaseRepresentation
bin110000001101010100001001…
…100001000001110001110100
31000210201000211101022000210200
4300031110021201001301310
5210242223424334020040
62030533112014320500
762442012326245641
oct6015241141016164
91023630741260720
10212021220220020
1161613770483572
121b9431717b9130
13913c6910aa173
143a4dc4b99cdc8
15197a259e0c630
hexc0d509841c74

212021220220020 has 72 divisors (see below), whose sum is σ = 643191196808160. Its totient is φ = 56533703079360.

The previous prime is 212021220220001. The next prime is 212021220220049. The reversal of 212021220220020 is 20022022120212.

212021220220020 is a `hidden beast` number, since 2 + 1 + 202 + 1 + 220 + 220 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212021220219975 and 212021220220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53163810 + ... + 57012569.

It is an arithmetic number, because the mean of its divisors is an integer number (8933211066780).

Almost surely, 2212021220220020 is an apocalyptic number.

212021220220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021220220020 is an abundant number, since it is smaller than the sum of its proper divisors (431169976588140).

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

212021220220020 is a wasteful number, since it uses less digits than its factorization.

212021220220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110187085 (or 110187080 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212021220220020 its reverse (20022022120212), we get a palindrome (232043242340232).

The spelling of 212021220220020 in words is "two hundred twelve trillion, twenty-one billion, two hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10691 21382 32073 42764 53455 64146 96219 106910 128292 160365 192438 213820 320730 384876 481095 641460 962190 1924380 110176379 220352758 330529137 440705516 550881895 661058274 991587411 1101763790 1322116548 1652645685 1983174822 2203527580 3305291370 3966349644 4957937055 6610582740 9915874110 19831748220 1177895667889 2355791335778 3533687003667 4711582671556 5889478339445 7067374007334 10601061011001 11778956678890 14134748014668 17668435018335 21202122022002 23557913357780 35336870036670 42404244044004 53005305055005 70673740073340 106010610110010 212021220220020