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21423310400 = 265213389569
BaseRepresentation
bin10011111100111011…
…011100011001000000
32001022000201221001202
4103330323130121000
5322333331413100
613501451520332
71355614063622
oct237473343100
961260657052
1021423310400
1190a399a208
12419a7590a8
13203552853b
141073344c12
15855bb77d5
hex4fcedc640

21423310400 has 42 divisors (see below), whose sum is σ = 52714737090. Its totient is φ = 8569323520.

The previous prime is 21423310379. The next prime is 21423310409. The reversal of 21423310400 is 401332412.

It can be written as a sum of positive squares in 3 ways, for example, as 1679688256 + 19743622144 = 40984^2 + 140512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21423310409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6693185 + ... + 6696384.

Almost surely, 221423310400 is an apocalyptic number.

21423310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21423310400 is an abundant number, since it is smaller than the sum of its proper divisors (31291426690).

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

21423310400 is a wasteful number, since it uses less digits than its factorization.

21423310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13389591 (or 13389576 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21423310400 its reverse (401332412), we get a palindrome (21824642812).

The spelling of 21423310400 in words is "twenty-one billion, four hundred twenty-three million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 13389569 26779138 53558276 66947845 107116552 133895690 214233104 267791380 334739225 428466208 535582760 669478450 856932416 1071165520 1338956900 2142331040 2677913800 4284662080 5355827600 10711655200 21423310400