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212214203120 = 2452652677539
BaseRepresentation
bin1100010110100011110…
…0111100001011110000
3202021202120110111021202
43011220330330023300
511434103313444440
6241253450510332
721221602651433
oct3055074741360
9667676414252
10212214203120
1181aaa426847
12351661353a8
131701c9719ba
14a3b233b81a
1557c0907615
hex3168f3c2f0

212214203120 has 20 divisors (see below), whose sum is σ = 493398022440. Its totient is φ = 84885681216.

The previous prime is 212214203083. The next prime is 212214203129. The reversal of 212214203120 is 21302412212.

212214203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212214203092 and 212214203101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212214203129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1326338690 + ... + 1326338849.

It is an arithmetic number, because the mean of its divisors is an integer number (24669901122).

Almost surely, 2212214203120 is an apocalyptic number.

212214203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212214203120 is an abundant number, since it is smaller than the sum of its proper divisors (281183819320).

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

212214203120 is a wasteful number, since it uses less digits than its factorization.

212214203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652677552 (or 2652677546 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212214203120 its reverse (21302412212), we get a palindrome (233516615332).

The spelling of 212214203120 in words is "two hundred twelve billion, two hundred fourteen million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2652677539 5305355078 10610710156 13263387695 21221420312 26526775390 42442840624 53053550780 106107101560 212214203120