Search a number
-
+
11234314350 = 23252723295347
BaseRepresentation
bin10100111011001111…
…00000100001101110
31001222221100022002200
422131213200201232
5141001441024400
65054434202330
7545253045030
oct123547404156
931887308080
1011234314350
114845528716
1222164233a6
1310a06375ac
14788065c50
1545b425b00
hex29d9e086e

11234314350 has 288 divisors, whose sum is σ = 37242616320. Its totient is φ = 2371057920.

The previous prime is 11234314349. The next prime is 11234314387. The reversal of 11234314350 is 5341343211.

It is a happy number.

11234314350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2098377 + ... + 2103723.

It is an arithmetic number, because the mean of its divisors is an integer number (129314640).

Almost surely, 211234314350 is an apocalyptic number.

11234314350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234314350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18621308160).

11234314350 is an abundant number, since it is smaller than the sum of its proper divisors (26008301970).

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

11234314350 is a wasteful number, since it uses less digits than its factorization.

11234314350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11234314350 its reverse (5341343211), we get a palindrome (16575657561).

The spelling of 11234314350 in words is "eleven billion, two hundred thirty-four million, three hundred fourteen thousand, three hundred fifty".