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212111112020 = 225101105005501
BaseRepresentation
bin1100010110001011001…
…1101011011101010100
3202021111101110220212212
43011202303223131110
511433400421041040
6241235325132552
721216211463333
oct3054263533524
9667441426785
10212111112020
1181a57213995
12351376ba158
13170044b8252
14a3a2783d1a
1557b6841d65
hex3162ceb754

212111112020 has 24 divisors (see below), whose sum is σ = 449843570568. Its totient is φ = 84004400000.

The previous prime is 212111112013. The next prime is 212111112043. The reversal of 212111112020 is 20211111212.

It can be written as a sum of positive squares in 4 ways, for example, as 41036225476 + 171074886544 = 202574^2 + 413612^2 .

It is a super-2 number, since 2×2121111120202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111111986 and 212111112004.

It is a congruent number.

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, 52500731 + ... + 52504770.

It is an arithmetic number, because the mean of its divisors is an integer number (18743482107).

Almost surely, 2212111112020 is an apocalyptic number.

212111112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111112020 is an abundant number, since it is smaller than the sum of its proper divisors (237732458548).

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

212111112020 is a wasteful number, since it uses less digits than its factorization.

212111112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105005611 (or 105005609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212111112020 its reverse (20211111212), we get a palindrome (232322223232).

The spelling of 212111112020 in words is "two hundred twelve billion, one hundred eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 105005501 210011002 420022004 525027505 1050055010 2100110020 10605555601 21211111202 42422222404 53027778005 106055556010 212111112020