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1112230301200 = 245210142165393
BaseRepresentation
bin10000001011110110000…
…101111000111000010000
310221022212020112102221021
4100023312011320320100
5121210321424114300
62210541311205224
7143233050400234
oct20136605707020
93838766472837
101112230301200
11399770011337
1215b683816814
1380b628761a5
143bb919145c4
151dde9563d1a
hex102f6178e10

1112230301200 has 120 divisors (see below), whose sum is σ = 2705041381896. Its totient is φ = 439434240000.

The previous prime is 1112230301101. The next prime is 1112230301269. The reversal of 1112230301200 is 21030322111.

It can be written as a sum of positive squares in 12 ways, for example, as 572933941776 + 539296359424 = 756924^2 + 734368^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 16975704 + ... + 17041096.

Almost surely, 21112230301200 is an apocalyptic number.

1112230301200 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 1112230301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352520690948).

1112230301200 is an abundant number, since it is smaller than the sum of its proper divisors (1592811080696).

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

1112230301200 is a wasteful number, since it uses less digits than its factorization.

1112230301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65933 (or 65922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1112230301200 its reverse (21030322111), we get a palindrome (1133260623311).

The spelling of 1112230301200 in words is "one trillion, one hundred twelve billion, two hundred thirty million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 421 505 808 842 1010 1616 1684 2020 2105 2525 3368 4040 4210 5050 6736 8080 8420 10100 10525 16840 20200 21050 33680 40400 42100 42521 65393 84200 85042 130786 168400 170084 212605 261572 326965 340168 425210 523144 653930 680336 850420 1046288 1063025 1307860 1634825 1700840 2126050 2615720 3269650 3401680 4252100 5231440 6539300 6604693 8504200 13078600 13209386 17008400 26157200 26418772 27530453 33023465 52837544 55060906 66046930 105675088 110121812 132093860 137652265 165117325 220243624 264187720 275304530 330234650 440487248 528375440 550609060 660469300 688261325 1101218120 1320938600 1376522650 2202436240 2641877200 2753045300 2780575753 5506090600 5561151506 11012181200 11122303012 13902878765 22244606024 27805757530 44489212048 55611515060 69514393825 111223030120 139028787650 222446060240 278057575300 556115150600 1112230301200