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20021313221 = 721322417741
BaseRepresentation
bin10010101001010111…
…001111111011000101
31220200022122002111022
4102221113033323011
5312000424010341
613110410120525
71306101232400
oct225127177305
956608562438
1020021313221
118544566a58
123a69120145
131b70c2aa00
14d7d072d37
157c2a7ae4b
hex4a95cfec5

20021313221 has 18 divisors (see below), whose sum is σ = 25219466802. Its totient is φ = 15841032480.

The previous prime is 20021313209. The next prime is 20021313269. The reversal of 20021313221 is 12231312002.

It can be written as a sum of positive squares in 3 ways, for example, as 470282596 + 19551030625 = 21686^2 + 139825^2 .

It is not a de Polignac number, because 20021313221 - 26 = 20021313157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20021313221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021312221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1200590 + ... + 1217151.

It is an arithmetic number, because the mean of its divisors is an integer number (1401081489).

Almost surely, 220021313221 is an apocalyptic number.

It is an amenable number.

20021313221 is a deficient number, since it is larger than the sum of its proper divisors (5198153581).

20021313221 is a wasteful number, since it uses less digits than its factorization.

20021313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417781 (or 2417761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20021313221 its reverse (12231312002), we get a palindrome (32252625223).

The spelling of 20021313221 in words is "twenty billion, twenty-one million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 7 13 49 91 169 637 1183 8281 2417741 16924187 31430633 118469309 220014431 408598229 1540101017 2860187603 20021313221