Search a number
-
+
114103510000 = 245443443599
BaseRepresentation
bin110101001000100011…
…0010110001111110000
3101220112001212212211221
41222101012112033300
53332140444310000
6124230214114424
711146406555314
oct1522106261760
9356461785757
10114103510000
1144433502997
121a14504ba14
13a9b56c092c
14574619db44
152e7c4b761a
hex1a911963f0

114103510000 has 200 divisors, whose sum is σ = 283791657600. Its totient is φ = 44405088000.

The previous prime is 114103509991. The next prime is 114103510007. The reversal of 114103510000 is 15301411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1141035100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114103510007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 190489701 + ... + 190490299.

It is an arithmetic number, because the mean of its divisors is an integer number (1418958288).

Almost surely, 2114103510000 is an apocalyptic number.

114103510000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114103510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141895828800).

114103510000 is an abundant number, since it is smaller than the sum of its proper divisors (169688147600).

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

114103510000 is an equidigital number, since it uses as much as digits as its factorization.

114103510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 114103510000 its reverse (15301411), we get a palindrome (114118811411).

The spelling of 114103510000 in words is "one hundred fourteen billion, one hundred three million, five hundred ten thousand".