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113214002420 = 2255660700121
BaseRepresentation
bin110100101110000010…
…1001001010011110100
3101211020002010012211202
41221130011021103310
53323330241034140
6124002040552032
711115356066621
oct1513405112364
9354202105752
10113214002420
1144017397762
1219b37182618
13a8a332bc9c
14569ddb5348
152e2935e915
hex1a5c1494f4

113214002420 has 12 divisors (see below), whose sum is σ = 237749405124. Its totient is φ = 45285600960.

The previous prime is 113214002401. The next prime is 113214002431. The reversal of 113214002420 is 24200412311.

It can be written as a sum of positive squares in 2 ways, for example, as 39154911376 + 74059091044 = 197876^2 + 272138^2 .

It is a super-3 number, since 3×1132140024203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5660700121 = 113214002420 / (1 + 1 + 3 + 2 + 1 + 4 + 0 + 0 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 113214002392 and 113214002401.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2830350041 + ... + 2830350080.

It is an arithmetic number, because the mean of its divisors is an integer number (19812450427).

Almost surely, 2113214002420 is an apocalyptic number.

113214002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113214002420 is an abundant number, since it is smaller than the sum of its proper divisors (124535402704).

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

113214002420 is a wasteful number, since it uses less digits than its factorization.

113214002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660700130 (or 5660700128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 113214002420 its reverse (24200412311), we get a palindrome (137414414731).

The spelling of 113214002420 in words is "one hundred thirteen billion, two hundred fourteen million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5660700121 11321400242 22642800484 28303500605 56607001210 113214002420