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131112020 = 225133116267
BaseRepresentation
bin1111101000010…
…01110001010100
3100010201011212202
413310021301110
5232031041040
621002104032
73151301534
oct764116124
9303634782
10131112020
1168011446
1237aab018
13212179a0
14135ad4c4
15b79d015
hex7d09c54

131112020 has 48 divisors (see below), whose sum is σ = 306098688. Its totient is φ = 46846080.

The previous prime is 131112019. The next prime is 131112043. The reversal of 131112020 is 20211131.

It is a junction number, because it is equal to n+sod(n) for n = 131111992 and 131112010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74 + ... + 16193.

It is an arithmetic number, because the mean of its divisors is an integer number (6377056).

Almost surely, 2131112020 is an apocalyptic number.

131112020 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 131112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153049344).

131112020 is an abundant number, since it is smaller than the sum of its proper divisors (174986668).

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

131112020 is a wasteful number, since it uses less digits than its factorization.

131112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320 (or 16318 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 131112020 is about 11450.4157129774. The cubic root of 131112020 is about 508.0200304169.

Adding to 131112020 its reverse (20211131), we get a palindrome (151323151).

It can be divided in two parts, 1311 and 12020, that added together give a palindrome (13331).

The spelling of 131112020 in words is "one hundred thirty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 16267 32534 65068 81335 162670 211471 325340 422942 504277 845884 1008554 1057355 2017108 2114710 2521385 4229420 5042770 6555601 10085540 13111202 26222404 32778005 65556010 131112020