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113213324 = 22731943101
BaseRepresentation
bin1101011111101…
…11111110001100
321220000211111002
412233313332030
5212440311244
615122315432
72543204000
oct657677614
9256024432
10113213324
11589a6934
1231ab8b78
131a5bbb43
1411070700
159e14a4e
hex6bf7f8c

113213324 has 96 divisors (see below), whose sum is σ = 251328000. Its totient is φ = 44452800.

The previous prime is 113213323. The next prime is 113213357. The reversal of 113213324 is 423312311.

It is a super-2 number, since 2×1132133242 = 25634513462257952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113213296 and 113213305.

It is not an unprimeable number, because it can be changed into a prime (113213323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120874 + ... + 1120974.

It is an arithmetic number, because the mean of its divisors is an integer number (2618000).

Almost surely, 2113213324 is an apocalyptic number.

113213324 is a gapful number since it is divisible by the number (14) 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 113213324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125664000).

113213324 is an abundant number, since it is smaller than the sum of its proper divisors (138114676).

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

113213324 is a wasteful number, since it uses less digits than its factorization.

113213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 113213324 is about 10640.1749985609. The cubic root of 113213324 is about 483.7628496922.

Adding to 113213324 its reverse (423312311), we get a palindrome (536525635).

The spelling of 113213324 in words is "one hundred thirteen million, two hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 43 49 76 86 98 101 133 172 196 202 266 301 343 404 532 602 686 707 817 931 1204 1372 1414 1634 1862 1919 2107 2828 3268 3724 3838 4214 4343 4949 5719 6517 7676 8428 8686 9898 11438 13034 13433 14749 17372 19796 22876 26068 26866 29498 30401 34643 40033 53732 58996 60802 69286 80066 82517 94031 121604 138572 160132 165034 188062 212807 280231 330068 376124 425614 560462 577619 658217 851228 1120924 1155238 1316434 1489649 2310476 2632868 2979298 4043333 5958596 8086666 16173332 28303331 56606662 113213324