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113221220 = 22572979353
BaseRepresentation
bin1101011111110…
…01111001100100
321220001020022112
412233321321210
5212441034340
615122420152
72543236010
oct657717144
9256036275
10113221220
1158a01862
1231b01658
131a5c2608
1411073540
159e17065
hex6bf9e64

113221220 has 96 divisors (see below), whose sum is σ = 285465600. Its totient is φ = 36900864.

The previous prime is 113221217. The next prime is 113221253. The reversal of 113221220 is 22122311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 113221195 and 113221204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320564 + ... + 320916.

It is an arithmetic number, because the mean of its divisors is an integer number (2973600).

Almost surely, 2113221220 is an apocalyptic number.

113221220 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 113221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142732800).

113221220 is an abundant number, since it is smaller than the sum of its proper divisors (172244380).

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

113221220 is a wasteful number, since it uses less digits than its factorization.

113221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 113221220 is about 10640.5460386204. The cubic root of 113221220 is about 483.7740960206.

Adding to 113221220 its reverse (22122311), we get a palindrome (135343531).

The spelling of 113221220 in words is "one hundred thirteen million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 79 116 140 145 158 203 290 316 353 395 406 553 580 706 790 812 1015 1106 1412 1580 1765 2030 2212 2291 2471 2765 3530 4060 4582 4942 5530 7060 9164 9884 10237 11060 11455 12355 16037 20474 22910 24710 27887 32074 40948 45820 49420 51185 55774 64148 71659 80185 102370 111548 139435 143318 160370 195209 204740 278870 286636 320740 358295 390418 557740 716590 780836 808723 976045 1433180 1617446 1952090 3234892 3904180 4043615 5661061 8087230 11322122 16174460 22644244 28305305 56610610 113221220