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113013220 = 22541283487
BaseRepresentation
bin1101011110001…
…11000111100100
321212122122222211
412233013013210
5212412410340
615114133204
72541411415
oct657070744
9255578884
10113013220
115887a561
1231a21204
131a54ba38
141101b80c
159dc55ea
hex6bc71e4

113013220 has 48 divisors (see below), whose sum is σ = 244476288. Its totient is φ = 43856640.

The previous prime is 113013217. The next prime is 113013227. The reversal of 113013220 is 22310311.

It is a super-3 number, since 3×1130132203 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113013220.

It is not an unprimeable number, because it can be changed into a prime (113013227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231817 + ... + 232303.

It is an arithmetic number, because the mean of its divisors is an integer number (5093256).

Almost surely, 2113013220 is an apocalyptic number.

113013220 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 113013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122238144).

113013220 is an abundant number, since it is smaller than the sum of its proper divisors (131463068).

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

113013220 is a wasteful number, since it uses less digits than its factorization.

113013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

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

The square root of 113013220 is about 10630.7676110430. The cubic root of 113013220 is about 483.4776654435.

Adding to 113013220 its reverse (22310311), we get a palindrome (135323531).

The spelling of 113013220 in words is "one hundred thirteen million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 283 410 487 566 820 974 1132 1415 1948 2435 2830 4870 5660 9740 11603 19967 23206 39934 46412 58015 79868 99835 116030 137821 199670 232060 275642 399340 551284 689105 1378210 2756420 5650661 11301322 22602644 28253305 56506610 113013220