Search a number
-
+
113312310 = 23517435167
BaseRepresentation
bin1101100000100…
…00001000110110
321220012212021020
412300100020312
5213001443220
615124402010
72544065406
oct660201066
9256185236
10113312310
1158a64241
1231b46306
131a624c07
1411098806
159e34040
hex6c10236

113312310 has 64 divisors (see below), whose sum is σ = 294700032. Its totient is φ = 27772416.

The previous prime is 113312299. The next prime is 113312341. The reversal of 113312310 is 13213311.

It is a super-2 number, since 2×1133123102 = 25679359195072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113312310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19347 + ... + 24513.

It is an arithmetic number, because the mean of its divisors is an integer number (4604688).

Almost surely, 2113312310 is an apocalyptic number.

113312310 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 113312310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147350016).

113312310 is an abundant number, since it is smaller than the sum of its proper divisors (181387722).

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

113312310 is a wasteful number, since it uses less digits than its factorization.

113312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113312310 is about 10644.8255035017. The cubic root of 113312310 is about 483.9037983559.

Adding to 113312310 its reverse (13213311), we get a palindrome (126525621).

The spelling of 113312310 in words is "one hundred thirteen million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 1290 1462 2193 3655 4386 5167 7310 10334 10965 15501 21930 25835 31002 51670 77505 87839 155010 175678 222181 263517 439195 444362 527034 666543 878390 1110905 1317585 1333086 2221810 2635170 3332715 3777077 6665430 7554154 11331231 18885385 22662462 37770770 56656155 113312310