Search a number
-
+
100000020985 = 5102531950649
BaseRepresentation
bin101110100100001110…
…1110011100111111001
3100120010011200102000221
41131020131303213321
53114300001132420
6113534523300041
710140044103454
oct1351035634771
9316104612027
10100000020985
113945644a947
121746997a621
139578819167
144ba906849b
152904240caa
hex17487739f9

100000020985 has 8 divisors (see below), whose sum is σ = 120011790600. Its totient is φ = 79992173184.

The previous prime is 100000020971. The next prime is 100000021001. The reversal of 100000020985 is 589020000001.

It can be written as a sum of positive squares in 4 ways, for example, as 18804088384 + 81195932601 = 137128^2 + 284949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100000020985 - 221 = 99997923833 is a prime.

It is a super-3 number, since 3×1000000209853 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924060 + ... + 1026589.

It is an arithmetic number, because the mean of its divisors is an integer number (15001473825).

Almost surely, 2100000020985 is an apocalyptic number.

It is an amenable number.

100000020985 is a deficient number, since it is larger than the sum of its proper divisors (20011769615).

100000020985 is a wasteful number, since it uses less digits than its factorization.

100000020985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960907.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 100000020985 its reverse (589020000001), we get a palindrome (689020020986).

The spelling of 100000020985 in words is "one hundred billion, twenty thousand, nine hundred eighty-five".

Divisors: 1 5 10253 51265 1950649 9753245 20000004197 100000020985