Search a number
-
+
11222100012000 = 25353935175001
BaseRepresentation
bin1010001101001101100101…
…0010001110101111100000
31110201211012110000021221210
42203103121102032233200
52432330330100341000
635511210033350120
72235525046141233
oct243233122165740
943654173007853
1011222100012000
1136372a1996239
121312b02708340
136353162112b7
142ab21c7cd41a
15146da4e15350
hexa34d948ebe0

11222100012000 has 96 divisors (see below), whose sum is σ = 36763599678624. Its totient is φ = 2992560000000.

The previous prime is 11222100011977. The next prime is 11222100012043. The reversal of 11222100012000 is 21000122211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 467575501 + ... + 467599500.

It is an arithmetic number, because the mean of its divisors is an integer number (382954163319).

Almost surely, 211222100012000 is an apocalyptic number.

11222100012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222100012000 is an abundant number, since it is smaller than the sum of its proper divisors (25541499666624).

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

11222100012000 is an equidigital number, since it uses as much as digits as its factorization.

11222100012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935175029 (or 935175011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11222100012000 its reverse (21000122211), we get a palindrome (11243100134211).

The spelling of 11222100012000 in words is "eleven trillion, two hundred twenty-two billion, one hundred million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 935175001 1870350002 2805525003 3740700004 4675875005 5611050006 7481400008 9351750010 11222100012 14027625015 14962800016 18703500020 22444200024 23379375025 28055250030 29925600032 37407000040 44888400048 46758750050 56110500060 70138125075 74814000080 89776800096 93517500100 112221000120 116896875125 140276250150 149628000160 187035000200 224442000240 233793750250 280552500300 350690625375 374070000400 448884000480 467587500500 561105000600 701381250750 748140000800 935175001000 1122210001200 1402762501500 1870350002000 2244420002400 2805525003000 3740700004000 5611050006000 11222100012000