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20042430030 = 23257971572089
BaseRepresentation
bin10010101010100111…
…110011011001001110
31220201210100221022100
4102222213303121032
5312021330230110
613112442455530
71306445562420
oct225247633116
956653327270
1020042430030
11855547a367
123a742045a6
131b7541256c
14d81bac810
157c484cbc0
hex4aa9f364e

20042430030 has 192 divisors, whose sum is σ = 60580840320. Its totient is φ = 4502863872.

The previous prime is 20042429987. The next prime is 20042430061. The reversal of 20042430030 is 3003424002.

20042430030 is a `hidden beast` number, since 200 + 4 + 2 + 430 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20042429985 and 20042430012.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9593226 + ... + 9595314.

It is an arithmetic number, because the mean of its divisors is an integer number (315525210).

Almost surely, 220042430030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042430030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30290420160).

20042430030 is an abundant number, since it is smaller than the sum of its proper divisors (40538410290).

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

20042430030 is a wasteful number, since it uses less digits than its factorization.

20042430030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20042430030 its reverse (3003424002), we get a palindrome (23045854032).

The spelling of 20042430030 in words is "twenty billion, forty-two million, four hundred thirty thousand, thirty".