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113130220 = 22572241479
BaseRepresentation
bin1101011111000…
…11101011101100
321212212121111011
412233203223230
5212430131340
615120435004
72542406500
oct657435354
9255777434
10113130220
115894a455
1231a78a64
131a590078
141104c300
159dea0ea
hex6be3aec

113130220 has 72 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 38545920.

The previous prime is 113130211. The next prime is 113130221. The reversal of 113130220 is 22031311.

It is a self number, because there is not a number n which added to its sum of digits gives 113130220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 235941 + ... + 236419.

It is an arithmetic number, because the mean of its divisors is an integer number (3862320).

Almost surely, 2113130220 is an apocalyptic number.

113130220 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 113130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

113130220 is an abundant number, since it is smaller than the sum of its proper divisors (164956820).

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

113130220 is a wasteful number, since it uses less digits than its factorization.

113130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 113130220 is about 10636.2690827188. The cubic root of 113130220 is about 483.6444523536.

Adding to 113130220 its reverse (22031311), we get a palindrome (135161531).

The spelling of 113130220 in words is "one hundred thirteen million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 241 245 479 482 490 958 964 980 1205 1687 1916 2395 2410 3353 3374 4790 4820 6706 6748 8435 9580 11809 13412 16765 16870 23471 23618 33530 33740 46942 47236 59045 67060 93884 115439 117355 118090 230878 234710 236180 461756 469420 577195 808073 1154390 1616146 2308780 3232292 4040365 5656511 8080730 11313022 16161460 22626044 28282555 56565110 113130220