Search a number
-
+
113120323206 = 231123719103643
BaseRepresentation
bin110100101011001111…
…1110010011010000110
3101210222112211211010020
41221112133302122012
53323132300320311
6123544453040010
711113140611442
oct1512637623206
9353875754106
10113120323206
1143a79523120
1219b0b926006
13a889abc4b7
14569178b822
152e21007c06
hex1a567f2686

113120323206 has 64 divisors (see below), whose sum is σ = 257899438080. Its totient is φ = 32742580640.

The previous prime is 113120323187. The next prime is 113120323207. The reversal of 113120323206 is 602323021311.

It is a super-3 number, since 3×1131203232063 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113120323207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039621 + ... + 1143263.

It is an arithmetic number, because the mean of its divisors is an integer number (4029678720).

Almost surely, 2113120323206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113120323206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128949719040).

113120323206 is an abundant number, since it is smaller than the sum of its proper divisors (144779114874).

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

113120323206 is a wasteful number, since it uses less digits than its factorization.

113120323206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104401.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113120323206 its reverse (602323021311), we get a palindrome (715443344517).

The spelling of 113120323206 in words is "one hundred thirteen billion, one hundred twenty million, three hundred twenty-three thousand, two hundred six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 719 759 1438 1518 2157 4314 7909 15818 16537 23727 33074 47454 49611 99222 103643 181907 207286 310929 363814 545721 621858 1091442 1140073 2280146 2383789 3420219 4767578 6840438 7151367 14302734 26221679 52443358 74519317 78665037 149038634 157330074 223557951 447115902 819712487 1639424974 1713944291 2459137461 3427888582 4918274922 5141832873 10283665746 18853387201 37706774402 56560161603 113120323206