Search a number
-
+
113343310080 = 28325711139829
BaseRepresentation
bin110100110001111001…
…0011010100100000000
3101211120002102201121100
41221203302122210000
53324111341410310
6124022540254400
711121516145110
oct1514362324400
9354502381540
10113343310080
11440833864a0
1219b72541400
13a8c40645b0
1456b3235040
152e358a2ec0
hex1a63c9a900

113343310080 has 864 divisors, whose sum is σ = 526584764160. Its totient is φ = 21737963520.

The previous prime is 113343310043. The next prime is 113343310097. The reversal of 113343310080 is 80013343311.

113343310080 is a `hidden beast` number, since 1 + 1 + 3 + 343 + 310 + 0 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11526606 + ... + 11536434.

Almost surely, 2113343310080 is an apocalyptic number.

113343310080 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 113343310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263292382080).

113343310080 is an abundant number, since it is smaller than the sum of its proper divisors (413241454080).

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

113343310080 is a wasteful number, since it uses less digits than its factorization.

113343310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113343310080 its reverse (80013343311), we get a palindrome (193356653391).

The spelling of 113343310080 in words is "one hundred thirteen billion, three hundred forty-three million, three hundred ten thousand, eighty".