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112361370270 = 235191032278431
BaseRepresentation
bin110100010100101000…
…0100111001010011110
3101202000122202000102020
41220221100213022132
53320104002322040
6123341302041010
711055263613612
oct1505120471236
9352018660366
10112361370270
114371a078596
1219939719166
13a7987ab916
14561ca69342
152dc958ccd0
hex1a2942729e

112361370270 has 128 divisors (see below), whose sum is σ = 287913000960. Its totient is φ = 27983283840.

The previous prime is 112361370263. The next prime is 112361370311. The reversal of 112361370270 is 72073163211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13322955 + ... + 13331385.

It is an arithmetic number, because the mean of its divisors is an integer number (2249320320).

Almost surely, 2112361370270 is an apocalyptic number.

112361370270 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 112361370270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143956500480).

112361370270 is an abundant number, since it is smaller than the sum of its proper divisors (175551630690).

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

112361370270 is a wasteful number, since it uses less digits than its factorization.

112361370270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790.

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 112361370270 in words is "one hundred twelve billion, three hundred sixty-one million, three hundred seventy thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 103 114 190 206 227 285 309 454 515 570 618 681 1030 1135 1362 1545 1957 2270 3090 3405 3914 4313 5871 6810 8431 8626 9785 11742 12939 16862 19570 21565 23381 25293 25878 29355 42155 43130 46762 50586 58710 64695 70143 84310 116905 126465 129390 140286 160189 233810 252930 320378 350715 444239 480567 701430 800945 868393 888478 961134 1332717 1601890 1736786 1913837 2221195 2402835 2605179 2665434 3827674 4341965 4442390 4805670 5210358 5741511 6663585 8683930 9569185 11483022 13025895 13327170 16499467 19138370 26051790 28707555 32998934 36362903 49498401 57415110 72725806 82497335 98996802 109088709 164994670 181814515 197125211 218177418 247492005 363629030 394250422 494984010 545443545 591375633 985626055 1090887090 1182751266 1971252110 2956878165 3745379009 5913756330 7490758018 11236137027 18726895045 22472274054 37453790090 56180685135 112361370270