Search a number
-
+
21212320200000 = 2635537979311
BaseRepresentation
bin1001101001010111000001…
…10011110111010101000000
32210002212201001210121210220
410310223200303313111000
510240020312432400000
6113040445543223040
74316353032502236
oct464534063672500
983085631717726
1021212320200000
1168391048267a6
12246710b147a80
13bab40c1844c7
14534978b14956
1526bbab4911a0
hex134ae0cf7540

21212320200000 has 336 divisors, whose sum is σ = 70176851394048. Its totient is φ = 5654521600000.

The previous prime is 21212320199891. The next prime is 21212320200013. The reversal of 21212320200000 is 202321212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2278195345 + ... + 2278204655.

It is an arithmetic number, because the mean of its divisors is an integer number (208859676768).

Almost surely, 221212320200000 is an apocalyptic number.

21212320200000 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 21212320200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35088425697024).

21212320200000 is an abundant number, since it is smaller than the sum of its proper divisors (48964531194048).

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

21212320200000 is an frugal number, since it uses more digits than its factorization.

21212320200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13148 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21212320200000 its reverse (202321212), we get a palindrome (21212522521212).

The spelling of 21212320200000 in words is "twenty-one trillion, two hundred twelve billion, three hundred twenty million, two hundred thousand".