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20280323281 = 17283772
BaseRepresentation
bin10010111000110011…
…010010110011010001
31221100101000011111111
4102320303102303101
5313013230321111
613152221413321
71315364621641
oct227063226321
957311004444
1020280323281
118667794059
123b1ba0a241
131bb27a64ba
14da5616521
157da68ea21
hex4b8cd2cd1

20280323281 has 9 divisors (see below), whose sum is σ = 21546029649. Its totient is φ = 19085084544.

The previous prime is 20280323269. The next prime is 20280323317. The reversal of 20280323281 is 18232308202.

The square root of 20280323281 is 142409.

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 207100881 + 20073222400 = 14391^2 + 141680^2 .

It is a de Polignac number, because none of the positive numbers 2k-20280323281 is a prime.

It is a super-2 number, since 2×202803232812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20280323201) 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 8 ways as a sum of consecutive naturals, for example, 2416765 + ... + 2425141.

Almost surely, 220280323281 is an apocalyptic number.

20280323281 is the 142409-th square number.

20280323281 is the 71205-th centered octagonal number.

It is an amenable number.

20280323281 is a deficient number, since it is larger than the sum of its proper divisors (1265706368).

20280323281 is an frugal number, since it uses more digits than its factorization.

20280323281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 20280323281 by its product of nonzero digits (9216), we get a square (186903459357696 = 136712642).

The spelling of 20280323281 in words is "twenty billion, two hundred eighty million, three hundred twenty-three thousand, two hundred eighty-one".

Divisors: 1 17 289 8377 142409 2420953 70174129 1192960193 20280323281