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21012200320 = 2751983109191
BaseRepresentation
bin10011100100011011…
…001011101110000000
32000020101011101001111
4103210123023232000
5321013110402240
613353004213104
71342462520146
oct234433135600
960211141044
1021012200320
118a02926111
1240a4b3a194
131c9b2c7037
1410348cb596
1582ea5c1ea
hex4e46cbb80

21012200320 has 256 divisors, whose sum is σ = 54286848000. Its totient is φ = 7753605120.

The previous prime is 21012200267. The next prime is 21012200323. The reversal of 21012200320 is 2300221012.

It is a self number, because there is not a number n which added to its sum of digits gives 21012200320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012200323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110011425 + ... + 110011615.

It is an arithmetic number, because the mean of its divisors is an integer number (212058000).

Almost surely, 221012200320 is an apocalyptic number.

21012200320 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 21012200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27143424000).

21012200320 is an abundant number, since it is smaller than the sum of its proper divisors (33274647680).

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

21012200320 is a wasteful number, since it uses less digits than its factorization.

21012200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21012200320 its reverse (2300221012), we get a palindrome (23312421332).

The spelling of 21012200320 in words is "twenty-one billion, twelve million, two hundred thousand, three hundred twenty".