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131112420 = 22352395009
BaseRepresentation
bin1111101000010…
…01110111100100
3100010201012102120
413310021313210
5232031044140
621002105540
73151302645
oct764116744
9303635376
10131112420
116801177a
1237aab2b0
1321217c1a
14135ad6cc
15b79d1d0
hex7d09de4

131112420 has 48 divisors (see below), whose sum is σ = 383080320. Its totient is φ = 33442816.

The previous prime is 131112409. The next prime is 131112437. The reversal of 131112420 is 24211131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131112420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46125 + ... + 48884.

It is an arithmetic number, because the mean of its divisors is an integer number (7980840).

Almost surely, 2131112420 is an apocalyptic number.

131112420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131112420 is an abundant number, since it is smaller than the sum of its proper divisors (251967900).

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

131112420 is a wasteful number, since it uses less digits than its factorization.

131112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95044 (or 95042 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131112420 is about 11450.4331795788. The cubic root of 131112420 is about 508.0205470434.

Adding to 131112420 its reverse (24211131), we get a palindrome (155323551).

It can be divided in two parts, 1311 and 12420, that added together give a palindrome (13731).

The spelling of 131112420 in words is "one hundred thirty-one million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 95009 190018 285027 380036 475045 570054 950090 1140108 1425135 1900180 2185207 2850270 4370414 5700540 6555621 8740828 10926035 13111242 21852070 26222484 32778105 43704140 65556210 131112420