Search a number
-
+
113210023320 = 23325193743101103
BaseRepresentation
bin110100101101111010…
…1111101110110011000
3101211012210122001112200
41221123311331312120
53323323231221240
6124001415410200
711115310215012
oct1513365756630
9354183561480
10113210023320
114401511a149
1219b35983960
13a8a2567aa4
14569d65b1b2
152e28d25930
hex1a5bd7dd98

113210023320 has 768 divisors, whose sum is σ = 415035878400. Its totient is φ = 26649907200.

The previous prime is 113210023309. The next prime is 113210023327. The reversal of 113210023320 is 23320012311.

113210023320 is a `hidden beast` number, since 1 + 1 + 321 + 0 + 0 + 23 + 320 = 666.

It is a super-2 number, since 2×1132100233202 (a number of 23 digits) contains 22 as substring.

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 = 113210023293 and 113210023302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113210023327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1099126389 + ... + 1099126491.

It is an arithmetic number, because the mean of its divisors is an integer number (540411300).

Almost surely, 2113210023320 is an apocalyptic number.

113210023320 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 113210023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207517939200).

113210023320 is an abundant number, since it is smaller than the sum of its proper divisors (301825855080).

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

113210023320 is a wasteful number, since it uses less digits than its factorization.

113210023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

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

Adding to 113210023320 its reverse (23320012311), we get a palindrome (136530035631).

The spelling of 113210023320 in words is "one hundred thirteen billion, two hundred ten million, twenty-three thousand, three hundred twenty".