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131112030 = 23574211483
BaseRepresentation
bin1111101000010…
…01110001011110
3100010201011220010
413310021301132
5232031041110
621002104050
73151301550
oct764116136
9303634803
10131112030
1168011455
1237aab026
13212179aa
14135ad4d0
15b79d020
hex7d09c5e

131112030 has 64 divisors (see below), whose sum is σ = 360718848. Its totient is φ = 29877120.

The previous prime is 131112019. The next prime is 131112043. The reversal of 131112030 is 30211131.

It is a junction number, because it is equal to n+sod(n) for n = 131111997 and 131112015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87669 + ... + 89151.

It is an arithmetic number, because the mean of its divisors is an integer number (5636232).

Almost surely, 2131112030 is an apocalyptic number.

131112030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131112030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180359424).

131112030 is an abundant number, since it is smaller than the sum of its proper divisors (229606818).

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

131112030 is a wasteful number, since it uses less digits than its factorization.

131112030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131112030 is about 11450.4161496428. The cubic root of 131112030 is about 508.0200433326.

Adding to 131112030 its reverse (30211131), we get a palindrome (161323161).

The spelling of 131112030 in words is "one hundred thirty-one million, one hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 421 842 1263 1483 2105 2526 2947 2966 4210 4449 5894 6315 7415 8841 8898 10381 12630 14735 14830 17682 20762 22245 29470 31143 44205 44490 51905 62286 88410 103810 155715 311430 624343 1248686 1873029 3121715 3746058 4370401 6243430 8740802 9365145 13111203 18730290 21852005 26222406 43704010 65556015 131112030