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21083911209 = 3229216692
BaseRepresentation
bin10011101000101100…
…101111010000101001
32000102101002122220100
4103220230233100221
5321134440124314
613404045220013
71344323200614
oct235054572051
960371078810
1021083911209
118a3a355609
124104b61609
131cb011450a
14104023717b
15835ec4c09
hex4e8b2f429

21083911209 has 27 divisors (see below), whose sum is σ = 31559816613. Its totient is φ = 13563121824.

The previous prime is 21083911153. The next prime is 21083911213. The reversal of 21083911209 is 90211938012.

The square root of 21083911209 is 145203.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70509609 + 21013401600 = 8397^2 + 144960^2 .

It is not a de Polignac number, because 21083911209 - 227 = 20949693481 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21083916209) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 12631827 + ... + 12633495.

Almost surely, 221083911209 is an apocalyptic number.

21083911209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

21083911209 is the 145203-rd square number.

21083911209 is the 72602-nd centered octagonal number.

It is an amenable number.

21083911209 is a deficient number, since it is larger than the sum of its proper divisors (10475905404).

21083911209 is an frugal number, since it uses more digits than its factorization.

21083911209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Multiplying 21083911209 by its sum of digits (36), we get a square (759020803524 = 8712182).

The spelling of 21083911209 in words is "twenty-one billion, eighty-three million, nine hundred eleven thousand, two hundred nine".

Divisors: 1 3 9 29 87 261 841 1669 2523 5007 7569 15021 48401 145203 435609 1403629 2785561 4210887 8356683 12632661 25070049 80781269 242343807 727031421 2342656801 7027970403 21083911209