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21300302009 = 7213717318341
BaseRepresentation
bin10011110101100110…
…001101000010111001
32000222110021110021102
4103311212031002321
5322110334131014
613441335221145
71352561402600
oct236546150271
960873243242
1021300302009
119040513188
1241655177b5
132015bba1cc
141060c84a37
15849eba8de
hex4f598d0b9

21300302009 has 24 divisors (see below), whose sum is σ = 25104401928. Its totient is φ = 18018389760.

The previous prime is 21300301993. The next prime is 21300302021. The reversal of 21300302009 is 90020300312.

It can be written as a sum of positive squares in 4 ways, for example, as 3972528784 + 17327773225 = 63028^2 + 131635^2 .

It is not a de Polignac number, because 21300302009 - 24 = 21300301993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21300302029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152179 + ... + 1170519.

It is an arithmetic number, because the mean of its divisors is an integer number (1046016747).

Almost surely, 221300302009 is an apocalyptic number.

It is an amenable number.

21300302009 is a deficient number, since it is larger than the sum of its proper divisors (3804099919).

21300302009 is a wasteful number, since it uses less digits than its factorization.

21300302009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18665 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The spelling of 21300302009 in words is "twenty-one billion, three hundred million, three hundred two thousand, nine".

Divisors: 1 7 49 137 173 959 1211 6713 8477 18341 23701 128387 165907 898709 1161349 2512717 3172993 17589019 22210951 123123133 155476657 434700041 3042900287 21300302009