Search a number
-
+
20717001125 = 53172573481
BaseRepresentation
bin10011010010110101…
…000101100110100101
31222110210200200212222
4103102311011212211
5314412023014000
613303421122125
71332246414122
oct232265054645
958423620788
1020717001125
118871230637
1240220b9345
131c520ba462
141007607749
15813b9aa85
hex4d2d459a5

20717001125 has 24 divisors (see below), whose sum is σ = 27465199944. Its totient is φ = 15598656000.

The previous prime is 20717001083. The next prime is 20717001161. The reversal of 20717001125 is 52110071702.

It can be written as a sum of positive squares in 12 ways, for example, as 9701659009 + 11015342116 = 98497^2 + 104954^2 .

It is not a de Polignac number, because 20717001125 - 26 = 20717001061 is a prime.

It is a super-2 number, since 2×207170011252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20717001094 and 20717001103.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 250616 + ... + 322865.

It is an arithmetic number, because the mean of its divisors is an integer number (1144383331).

Almost surely, 220717001125 is an apocalyptic number.

20717001125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20717001125 is a deficient number, since it is larger than the sum of its proper divisors (6748198819).

20717001125 is an equidigital number, since it uses as much as digits as its factorization.

20717001125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573530 (or 573503 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 20717001125 its reverse (52110071702), we get a palindrome (72827072827).

The spelling of 20717001125 in words is "twenty billion, seven hundred seventeen million, one thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 1445 2125 7225 36125 573481 2867405 9749177 14337025 48745885 71685125 165736009 243729425 828680045 1218647125 4143400225 20717001125