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21303220320 = 253456126947
BaseRepresentation
bin10011110101110001…
…010101100001100000
32000222122202201110000
4103311301111201200
5322112111022240
613441521540000
71352625246024
oct236561254140
960878681400
1021303220320
119042126808
1241664a4600
13201669c615
141061404384
1584a395430
hex4f5c55860

21303220320 has 240 divisors, whose sum is σ = 76417952688. Its totient is φ = 5587522560.

The previous prime is 21303220291. The next prime is 21303220321. The reversal of 21303220320 is 2302230312.

It is a happy number.

21303220320 is a `hidden beast` number, since 21 + 3 + 0 + 322 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21303220293 and 21303220302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303220321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 777087 + ... + 804033.

Almost surely, 221303220320 is an apocalyptic number.

21303220320 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 21303220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208976344).

21303220320 is an abundant number, since it is smaller than the sum of its proper divisors (55114732368).

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

21303220320 is a wasteful number, since it uses less digits than its factorization.

21303220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27035 (or 27018 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21303220320 its reverse (2302230312), we get a palindrome (23605450632).

The spelling of 21303220320 in words is "twenty-one billion, three hundred three million, two hundred twenty thousand, three hundred twenty".