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21303000320 = 285797127193
BaseRepresentation
bin10011110101110000…
…011111110100000000
32000222122100112122212
4103311300133310000
5322112032002240
613441513121252
71352623341440
oct236560376400
960878315585
1021303000320
119041a96498
1241663b9228
132016623444
141061388120
1584a350165
hex4f5c1fd00

21303000320 has 288 divisors, whose sum is σ = 59689771008. Its totient is φ = 7134511104.

The previous prime is 21303000311. The next prime is 21303000353. The reversal of 21303000320 is 2300030312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21303000295 and 21303000304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110378144 + ... + 110378336.

Almost surely, 221303000320 is an apocalyptic number.

21303000320 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 21303000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29844885504).

21303000320 is an abundant number, since it is smaller than the sum of its proper divisors (38386770688).

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

21303000320 is a wasteful number, since it uses less digits than its factorization.

21303000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 21303000320 its reverse (2300030312), we get a palindrome (23603030632).

The spelling of 21303000320 in words is "twenty-one billion, three hundred three million, three hundred twenty", and thus it is an aban number.