Search a number
-
+
114200200530 = 2325131923401557
BaseRepresentation
bin110101001011011011…
…1001100010101010010
3101220202210211021022200
41222112313030111102
53332340222404110
6124243550344030
711151662455023
oct1522667142522
9356683737280
10114200200530
1144483043a19
121a1714bb016
13a9cc745c70
145754d6cc4a
152e85c166c0
hex1a96dcc552

114200200530 has 384 divisors, whose sum is σ = 352732423680. Its totient is φ = 25364275200.

The previous prime is 114200200379. The next prime is 114200200577. The reversal of 114200200530 is 35002002411.

114200200530 is a `hidden beast` number, since 11 + 420 + 0 + 200 + 5 + 30 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 205027012 + ... + 205027568.

It is an arithmetic number, because the mean of its divisors is an integer number (918574020).

Almost surely, 2114200200530 is an apocalyptic number.

114200200530 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 114200200530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176366211840).

114200200530 is an abundant number, since it is smaller than the sum of its proper divisors (238532223150).

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

114200200530 is a wasteful number, since it uses less digits than its factorization.

114200200530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 114200200530 its reverse (35002002411), we get a palindrome (149202202941).

The spelling of 114200200530 in words is "one hundred fourteen billion, two hundred million, two hundred thousand, five hundred thirty".