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113313228 = 223717731087
BaseRepresentation
bin1101100000100…
…00010111001100
321220012220112020
412300100113030
5213002010403
615124410140
72544101160
oct660202714
9256186466
10113313228
1158a649a6
1231b46950
131a625462
1411098ca0
159e34453
hex6c105cc

113313228 has 96 divisors (see below), whose sum is σ = 324624384. Its totient is φ = 30025728.

The previous prime is 113313227. The next prime is 113313241. The reversal of 113313228 is 822313311.

It is a junction number, because it is equal to n+sod(n) for n = 113313198 and 113313207.

It is not an unprimeable number, because it can be changed into a prime (113313223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103701 + ... + 104787.

It is an arithmetic number, because the mean of its divisors is an integer number (3381504).

Almost surely, 2113313228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113313228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162312192).

113313228 is an abundant number, since it is smaller than the sum of its proper divisors (211311156).

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

113313228 is a wasteful number, since it uses less digits than its factorization.

113313228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 113313228 is about 10644.8686229563. The cubic root of 113313228 is about 483.9051051350.

Adding to 113313228 its reverse (822313311), we get a palindrome (935626539).

The spelling of 113313228 in words is "one hundred thirteen million, three hundred thirteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 73 84 102 119 146 204 219 238 292 357 438 476 511 714 876 1022 1087 1241 1428 1533 2044 2174 2482 3066 3261 3723 4348 4964 6132 6522 7446 7609 8687 13044 14892 15218 17374 18479 22827 26061 30436 34748 36958 45654 52122 55437 73916 79351 91308 104244 110874 129353 158702 221748 238053 258706 317404 388059 476106 517412 555457 776118 952212 1110914 1348967 1552236 1666371 2221828 2697934 3332742 4046901 5395868 6665484 8093802 9442769 16187604 18885538 28328307 37771076 56656614 113313228