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21300322320 = 2432529583781
BaseRepresentation
bin10011110101100110…
…010010000000010000
32000222110022111010200
4103311212102000100
5322110340303240
613441335455200
71352561516034
oct236546220020
960873274120
1021300322320
119040527472
124165527500
132015bc6524
141060c8c1c4
15849ec1930
hex4f5992010

21300322320 has 60 divisors (see below), whose sum is σ = 71533584876. Its totient is φ = 5680085760.

The previous prime is 21300322283. The next prime is 21300322321. The reversal of 21300322320 is 2322300312.

It is a happy number.

21300322320 is a `hidden beast` number, since 21 + 3 + 0 + 0 + 322 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13795911936 + 7504410384 = 117456^2 + 86628^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 21300322293 and 21300322302.

It is not an unprimeable number, because it can be changed into a prime (21300322321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14791171 + ... + 14792610.

Almost surely, 221300322320 is an apocalyptic number.

21300322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300322320 is an abundant number, since it is smaller than the sum of its proper divisors (50233262556).

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

21300322320 is a wasteful number, since it uses less digits than its factorization.

21300322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29583800 (or 29583791 counting only the distinct ones).

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

Adding to 21300322320 its reverse (2322300312), we get a palindrome (23622622632).

The spelling of 21300322320 in words is "twenty-one billion, three hundred million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 29583781 59167562 88751343 118335124 147918905 177502686 236670248 266254029 295837810 355005372 443756715 473340496 532508058 591675620 710010744 887513430 1065016116 1183351240 1331270145 1420021488 1775026860 2130032232 2366702480 2662540290 3550053720 4260064464 5325080580 7100107440 10650161160 21300322320