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113060000000 = 28575653
BaseRepresentation
bin110100101001011100…
…1101011000100000000
3101210211100100002020102
41221102321223010000
53323021330000000
6123534500101532
711111506100153
oct1512271530400
9353740302212
10113060000000
1143a48471432
1219ab36948a8
13a87a45b3ac
145687767c9a
152e1aa8e3d5
hex1a52e6b100

113060000000 has 144 divisors (see below), whose sum is σ = 282147129264. Its totient is φ = 45216000000.

The previous prime is 113059999993. The next prime is 113060000017. The reversal of 113060000000 is 60311.

It can be written as a sum of positive squares in 8 ways, for example, as 100078587904 + 12981412096 = 316352^2 + 113936^2 .

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, 19997174 + ... + 20002826.

Almost surely, 2113060000000 is an apocalyptic number.

113060000000 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 113060000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141073564632).

113060000000 is an abundant number, since it is smaller than the sum of its proper divisors (169087129264).

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

113060000000 is an frugal number, since it uses more digits than its factorization.

113060000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 113060000000 its reverse (60311), we get a palindrome (113060060311).

The spelling of 113060000000 in words is "one hundred thirteen billion, sixty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 5653 6250 6400 8000 10000 11306 12500 15625 16000 20000 22612 25000 28265 31250 32000 40000 45224 50000 56530 62500 78125 80000 90448 100000 113060 125000 141325 156250 160000 180896 200000 226120 250000 282650 312500 361792 400000 452240 500000 565300 625000 706625 723584 800000 904480 1000000 1130600 1250000 1413250 1447168 1808960 2000000 2261200 2500000 2826500 3533125 3617920 4000000 4522400 5000000 5653000 7066250 7235840 9044800 10000000 11306000 14132500 17665625 18089600 20000000 22612000 28265000 35331250 36179200 45224000 56530000 70662500 88328125 90448000 113060000 141325000 176656250 180896000 226120000 282650000 353312500 441640625 452240000 565300000 706625000 883281250 904480000 1130600000 1413250000 1766562500 2261200000 2826500000 3533125000 4522400000 5653000000 7066250000 11306000000 14132500000 22612000000 28265000000 56530000000 113060000000