Search a number
-
+
20302002000 = 243453717903
BaseRepresentation
bin10010111010000101…
…111111011101010000
31221101212210120010000
4102322011333131100
5313034303031000
613154314210000
71316050112130
oct227205773520
957355716100
1020302002000
118678a50655
123b27123900
131bb7126a47
14da845aac0
157dc523000
hex4ba17f750

20302002000 has 400 divisors, whose sum is σ = 83813064192. Its totient is φ = 4640198400.

The previous prime is 20302001971. The next prime is 20302002001. The reversal of 20302002000 is 20020302.

It is a tau number, because it is divible by the number of its divisors (400).

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 not an unprimeable number, because it can be changed into a prime (20302002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1125049 + ... + 1142951.

Almost surely, 220302002000 is an apocalyptic number.

20302002000 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 20302002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41906532096).

20302002000 is an abundant number, since it is smaller than the sum of its proper divisors (63511062192).

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

20302002000 is a wasteful number, since it uses less digits than its factorization.

20302002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17945 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 20302002000 its reverse (20020302), we get a palindrome (20322022302).

The spelling of 20302002000 in words is "twenty billion, three hundred two million, two thousand".