Search a number
-
+
113210230320 = 243251180917669
BaseRepresentation
bin110100101101111011…
…0110000011000110000
3101211012211000120111100
41221123312300120300
53323323304332240
6124001424044400
711115312036345
oct1513366603060
9354184016440
10113210230320
1144015250720
1219b35a63700
13a8a260b085
14569d6b27cc
152e28d66e30
hex1a5bdb0630

113210230320 has 240 divisors, whose sum is σ = 415297303200. Its totient is φ = 27409428480.

The previous prime is 113210230319. The next prime is 113210230333. The reversal of 113210230320 is 23032012311.

113210230320 is a `hidden beast` number, since 1 + 1 + 321 + 0 + 23 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 113210230293 and 113210230302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6398446 + ... + 6416114.

It is an arithmetic number, because the mean of its divisors is an integer number (1730405430).

Almost surely, 2113210230320 is an apocalyptic number.

113210230320 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 113210230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207648651600).

113210230320 is an abundant number, since it is smaller than the sum of its proper divisors (302087072880).

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

113210230320 is a wasteful number, since it uses less digits than its factorization.

113210230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18508 (or 18499 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113210230320 its reverse (23032012311), we get a palindrome (136242242631).

The spelling of 113210230320 in words is "one hundred thirteen billion, two hundred ten million, two hundred thirty thousand, three hundred twenty".