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112322310021300 = 223521994157452597
BaseRepresentation
bin11001100010100000010011…
…011000111010000010110100
3112201200220111220120011120110
4121202200103120322002310
5104210242042331140200
61034520053515103020
732442006360144201
oct3142402330720264
9481626456504513
10112322310021300
1132875695852505
1210720996441a70
134a89c437b2662
141da4600934ca8
15cebb6381ab50
hex66281363a0b4

112322310021300 has 144 divisors (see below), whose sum is σ = 326698271222400. Its totient is φ = 29794865379840.

The previous prime is 112322310021289. The next prime is 112322310021353. The reversal of 112322310021300 is 3120013223211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247946602 + ... + 248399198.

It is an arithmetic number, because the mean of its divisors is an integer number (2268737994600).

Almost surely, 2112322310021300 is an apocalyptic number.

112322310021300 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 112322310021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163349135611200).

112322310021300 is an abundant number, since it is smaller than the sum of its proper divisors (214375961201100).

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

112322310021300 is a wasteful number, since it uses less digits than its factorization.

112322310021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456970 (or 456963 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112322310021300 its reverse (3120013223211), we get a palindrome (115442323244511).

The spelling of 112322310021300 in words is "one hundred twelve trillion, three hundred twenty-two billion, three hundred ten million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 796 995 1194 1990 2388 2985 3980 4157 4975 5970 8314 9950 11940 12471 14925 16628 19900 20785 24942 29850 41570 49884 59700 62355 83140 103925 124710 207850 249420 311775 415700 452597 623550 827243 905194 1247100 1357791 1654486 1810388 2262985 2481729 2715582 3308972 4136215 4525970 4963458 5431164 6788955 8272430 9051940 9926916 11314925 12408645 13577910 16544860 20681075 22629850 24817290 27155820 33944775 41362150 45259700 49634580 62043225 67889550 82724300 90066803 124086450 135779100 180133606 248172900 270200409 360267212 450334015 540400818 900668030 1080801636 1351002045 1801336060 1881445729 2251670075 2702004090 3762891458 4503340150 5404008180 5644337187 6755010225 7525782916 9006680300 9407228645 11288674374 13510020450 18814457290 22577348748 27020040900 28221685935 37628914580 47036143225 56443371870 94072286450 112886743740 141108429675 188144572900 282216859350 374407700071 564433718700 748815400142 1123223100213 1497630800284 1872038500355 2246446200426 3744077000710 4492892400852 5616115501065 7488154001420 9360192501775 11232231002130 18720385003550 22464462004260 28080577505325 37440770007100 56161155010650 112322310021300