Search a number
-
+
113114331330 = 2357111323741191
BaseRepresentation
bin110100101011000100…
…0111011100011000010
3101210222010120101210220
41221112020323203002
53323124232100310
6123544120403510
711113035644430
oct1512610734302
9353863511726
10113114331330
1143a76100360
1219b09916596
13a8887a2100
145690a6bd50
152e20722670
hex1a5623b8c2

113114331330 has 768 divisors, whose sum is σ = 387604611072. Its totient is φ = 20487168000.

The previous prime is 113114331329. The next prime is 113114331373. The reversal of 113114331330 is 33133411311.

113114331330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1131143313304 (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113114331330.

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 383 ways as a sum of consecutive naturals, for example, 592221535 + ... + 592221725.

It is an arithmetic number, because the mean of its divisors is an integer number (504693504).

Almost surely, 2113114331330 is an apocalyptic number.

113114331330 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 113114331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193802305536).

113114331330 is an abundant number, since it is smaller than the sum of its proper divisors (274490279742).

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

113114331330 is a wasteful number, since it uses less digits than its factorization.

113114331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 113114331330 its reverse (33133411311), we get a palindrome (146247742641).

It can be divided in two parts, 113114 and 331330, that added together give a palindrome (444444).

The spelling of 113114331330 in words is "one hundred thirteen billion, one hundred fourteen million, three hundred thirty-one thousand, three hundred thirty".