Search a number
-
+
21212020200 = 2335275778753
BaseRepresentation
bin10011110000010101…
…011011110111101000
32000202022011021101210
4103300111123313220
5321420234121300
613424503113120
71350440124330
oct236025336750
960668137353
1021212020200
118aa56a5808
12413ba427a0
13200081a357
1410532640c0
1584237d050
hex4f055bde8

21212020200 has 192 divisors, whose sum is σ = 75290002560. Its totient is φ = 4839505920.

The previous prime is 21212020183. The next prime is 21212020211. The reversal of 21212020200 is 202021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2419024 + ... + 2427776.

It is an arithmetic number, because the mean of its divisors is an integer number (392135430).

Almost surely, 221212020200 is an apocalyptic number.

21212020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645001280).

21212020200 is an abundant number, since it is smaller than the sum of its proper divisors (54077982360).

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

21212020200 is a wasteful number, since it uses less digits than its factorization.

21212020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21212020200 its reverse (202021212), we get a palindrome (21414041412).

The spelling of 21212020200 in words is "twenty-one billion, two hundred twelve million, twenty thousand, two hundred".