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20021053 = 13172732
BaseRepresentation
bin100110001011…
…1111100111101
31101200011201111
41030113330331
520111133203
61553042021
7332114263
oct114277475
941604644
1020021053
1110335128
126856311
1341bcba0
142932433
151b5726d
hex1317f3d

20021053 has 18 divisors (see below), whose sum is σ = 23222094. Its totient is φ = 17155584.

The previous prime is 20021021. The next prime is 20021059. The reversal of 20021053 is 35012002.

It can be written as a sum of positive squares in 9 ways, for example, as 994009 + 19027044 = 997^2 + 4362^2 .

It is not a de Polignac number, because 20021053 - 25 = 20021021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021059) 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, 274225 + ... + 274297.

Almost surely, 220021053 is an apocalyptic number.

It is an amenable number.

20021053 is a deficient number, since it is larger than the sum of its proper divisors (3201041).

20021053 is an equidigital number, since it uses as much as digits as its factorization.

20021053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 20021053 is about 4474.4891328508. The cubic root of 20021053 is about 271.5369726495.

Multiplying 20021053 by its sum of digits (13), we get a square (260273689 = 161332).

20021053 divided by its sum of digits (13) gives a square (1540081 = 12412).

Adding to 20021053 its reverse (35012002), we get a palindrome (55033055).

The spelling of 20021053 in words is "twenty million, twenty-one thousand, fifty-three".

Divisors: 1 13 17 73 221 289 949 1241 3757 5329 16133 21097 69277 90593 274261 1177709 1540081 20021053