Search a number
-
+
20303010000 = 2432547133767
BaseRepresentation
bin10010111010001001…
…110101100011010000
31221101221200202211100
4102322021311203100
5313040032310000
613154351544400
71316061510660
oct227211654320
957357622740
1020303010000
118679579a09
123b2752b100
131bb73ba7b0
14da86401a0
157dc671a00
hex4ba2758d0

20303010000 has 1200 divisors, whose sum is σ = 91089142144. Its totient is φ = 4105728000.

The previous prime is 20303009971. The next prime is 20303010059. The reversal of 20303010000 is 1030302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 303029967 + ... + 303030033.

Almost surely, 220303010000 is an apocalyptic number.

20303010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20303010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45544571072).

20303010000 is an abundant number, since it is smaller than the sum of its proper divisors (70786132144).

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

20303010000 is a wasteful number, since it uses less digits than its factorization.

20303010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 20303010000 its reverse (1030302), we get a palindrome (20304040302).

The spelling of 20303010000 in words is "twenty billion, three hundred three million, ten thousand".