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20242133130 = 2356746321751
BaseRepresentation
bin10010110110100001…
…100111000010001010
31221020201010220110110
4102312201213002022
5312423441230010
613144335055150
71314422202252
oct226641470212
957221126413
1020242133130
11864817a24a
123b0b0714b6
131ba78c468b
14da0514962
157d7149120
hex4b686708a

20242133130 has 64 divisors (see below), whose sum is σ = 49414975488. Its totient is φ = 5305608000.

The previous prime is 20242133129. The next prime is 20242133137. The reversal of 20242133130 is 3133124202.

20242133130 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 20242133097 and 20242133106.

It is not an unprimeable number, because it can be changed into a prime (20242133137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919755 + ... + 941505.

It is an arithmetic number, because the mean of its divisors is an integer number (772108992).

Almost surely, 220242133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20242133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24707487744).

20242133130 is an abundant number, since it is smaller than the sum of its proper divisors (29172842358).

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

20242133130 is a wasteful number, since it uses less digits than its factorization.

20242133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22291.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20242133130 its reverse (3133124202), we get a palindrome (23375257332).

The spelling of 20242133130 in words is "twenty billion, two hundred forty-two million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 463 670 926 1005 1389 2010 2315 2778 4630 6945 13890 21751 31021 43502 62042 65253 93063 108755 130506 155105 186126 217510 310210 326265 465315 652530 930630 1457317 2914634 4371951 7286585 8743902 10070713 14573170 20141426 21859755 30212139 43719510 50353565 60424278 100707130 151060695 302121390 674737771 1349475542 2024213313 3373688855 4048426626 6747377710 10121066565 20242133130