Search a number
-
+
113623233030 = 233517373671823
BaseRepresentation
bin110100111010001111…
…0001111001000000110
3101212021121011021201000
41221310132033020012
53330200021424110
6124110420114130
711131455355026
oct1516436171006
9355247137630
10113623233030
114420739777a
121a030235946
13a93a052b88
1456dc49da86
152e502481c0
hex1a7478f206

113623233030 has 256 divisors, whose sum is σ = 330568335360. Its totient is φ = 27655686144.

The previous prime is 113623233019. The next prime is 113623233037. The reversal of 113623233030 is 30332326311.

It is a happy number.

113623233030 is a `hidden beast` number, since 1 + 1 + 3 + 623 + 2 + 3 + 3 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113623232985 and 113623233003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113623233037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62326699 + ... + 62328521.

It is an arithmetic number, because the mean of its divisors is an integer number (1291282560).

Almost surely, 2113623233030 is an apocalyptic number.

113623233030 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 113623233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165284167680).

113623233030 is an abundant number, since it is smaller than the sum of its proper divisors (216945102330).

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

113623233030 is a wasteful number, since it uses less digits than its factorization.

113623233030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 113623233030 its reverse (30332326311), we get a palindrome (143955559341).

The spelling of 113623233030 in words is "one hundred thirteen billion, six hundred twenty-three million, two hundred thirty-three thousand, thirty".