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113131220 = 2257337717
BaseRepresentation
bin1101011111000…
…11111011010100
321212212122212012
412233203323110
5212430144340
615120443352
72542412426
oct657437324
9255778765
10113131220
1158950184
1231a79558
131a590667
141104c816
159dea565
hex6be3ed4

113131220 has 24 divisors (see below), whose sum is σ = 237930504. Its totient is φ = 45184896.

The previous prime is 113131199. The next prime is 113131223. The reversal of 113131220 is 22131311.

It can be written as a sum of positive squares in 4 ways, for example, as 39891856 + 73239364 = 6316^2 + 8558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113131195 and 113131204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131223) 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 7 ways as a sum of consecutive naturals, for example, 10802 + ... + 18518.

It is an arithmetic number, because the mean of its divisors is an integer number (9913771).

Almost surely, 2113131220 is an apocalyptic number.

113131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113131220 is an abundant number, since it is smaller than the sum of its proper divisors (124799284).

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

113131220 is a wasteful number, since it uses less digits than its factorization.

113131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 113131220 is about 10636.3160915798. The cubic root of 113131220 is about 483.6458773870.

Adding to 113131220 its reverse (22131311), we get a palindrome (135262531).

Subtracting from 113131220 its reverse (22131311), we obtain a palindrome (90999909).

The spelling of 113131220 in words is "one hundred thirteen million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 733 1466 2932 3665 7330 7717 14660 15434 30868 38585 77170 154340 5656561 11313122 22626244 28282805 56565610 113131220