Search a number
-
+
20003106816 = 2123771129
BaseRepresentation
bin10010101000010001…
…110011000000000000
31220122001101010000000
4102220101303000000
5311431243404231
613104520000000
71305460413450
oct225021630000
956561333000
1020003106816
118535261240
123a63000000
131b6a224aa4
14d7a893d60
157c11816e6
hex4a8473000

20003106816 has 832 divisors, whose sum is σ = 77375462400. Its totient is φ = 5016453120.

The previous prime is 20003106791. The next prime is 20003106859. The reversal of 20003106816 is 61860130002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20003106816.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 689762290 + ... + 689762318.

Almost surely, 220003106816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38687731200).

20003106816 is an abundant number, since it is smaller than the sum of its proper divisors (57372355584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20003106816 is an frugal number, since it uses more digits than its factorization.

20003106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 20003106816 its reverse (61860130002), we get a palindrome (81863236818).

The spelling of 20003106816 in words is "twenty billion, three million, one hundred six thousand, eight hundred sixteen".