Search a number
-
+
203041330024 = 231318110879923
BaseRepresentation
bin1011110100011000110…
…1001101001101101000
3201102002022002020222011
42331012031031031220
511311312040030044
6233135332205304
720445360554251
oct2750615151550
9642068066864
10203041330024
11791225a0495
1233426169834
13161ba444740
149b81da5b28
15543547e134
hex2f4634d368

203041330024 has 64 divisors (see below), whose sum is σ = 412673264640. Its totient is φ = 93098522880.

The previous prime is 203041330021. The next prime is 203041330039. The reversal of 203041330024 is 420033140302.

It is a happy number.

203041330024 is digitally balanced in base 2, 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 = 203041329977 and 203041330004.

It is not an unprimeable number, because it can be changed into a prime (203041330021) 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 15 ways as a sum of consecutive naturals, for example, 20456727 + ... + 20466649.

It is an arithmetic number, because the mean of its divisors is an integer number (6448019760).

Almost surely, 2203041330024 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 203041330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206336632320).

203041330024 is an abundant number, since it is smaller than the sum of its proper divisors (209631934616).

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

203041330024 is a wasteful number, since it uses less digits than its factorization.

203041330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 203041330024 its reverse (420033140302), we get a palindrome (623074470326).

The spelling of 203041330024 in words is "two hundred three billion, forty-one million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1087 1448 2174 2353 4348 4706 8696 9412 9923 14131 18824 19846 28262 39692 56524 79384 113048 128999 196747 257998 393494 515996 786988 1031992 1573976 1796063 2557711 3592126 5115422 7184252 10230844 10786301 14368504 20461688 21572602 23348819 43145204 46697638 86290408 93395276 140221913 186790552 280443826 560887652 1121775304 1952320481 3904640962 7809281924 15618563848 25380166253 50760332506 101520665012 203041330024