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130112220 = 223571718223
BaseRepresentation
bin1111100000101…
…01101011011100
3100001211101102010
413300111223130
5231302042340
620524431220
73136635630
oct760255334
9301741363
10130112220
1167499267
12376a8510
1320c578a4
14133ccdc0
15b651b80
hex7c15adc

130112220 has 96 divisors (see below), whose sum is σ = 440875008. Its totient is φ = 27988992.

The previous prime is 130112197. The next prime is 130112221. The reversal of 130112220 is 22211031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130112196 and 130112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1972 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (4592448).

Almost surely, 2130112220 is an apocalyptic number.

130112220 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 130112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220437504).

130112220 is an abundant number, since it is smaller than the sum of its proper divisors (310762788).

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

130112220 is a wasteful number, since it uses less digits than its factorization.

130112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18259 (or 18257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130112220 is about 11406.6743619690. The cubic root of 130112220 is about 506.7254250491.

Adding to 130112220 its reverse (22211031), we get a palindrome (152323251).

The spelling of 130112220 in words is "one hundred thirty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 18223 36446 54669 72892 91115 109338 127561 182230 218676 255122 273345 309791 364460 382683 510244 546690 619582 637805 765366 929373 1093380 1239164 1275610 1530732 1548955 1858746 1913415 2168537 2551220 3097910 3717492 3826830 4337074 4646865 6195820 6505611 7653660 8674148 9293730 10842685 13011222 18587460 21685370 26022444 32528055 43370740 65056110 130112220