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118347223320001 = 132443218892
BaseRepresentation
bin11010111010001011011100…
…001101001100010111000001
3120112000212212110212102110101
4122322023130031030113001
5111003000103132220001
61055411544104402401
733633206343203314
oct3272133415142701
9515025773772411
10118347223320001
1134788859292a15
1211334599776401
135106131410300
14213207137c97b
15da3739a4ba01
hex6ba2dc34c5c1

118347223320001 has 27 divisors (see below), whose sum is σ = 128509098736809. Its totient is φ = 108939290333952.

The previous prime is 118347223319977. The next prime is 118347223320019. The reversal of 118347223320001 is 100023322743811.

The square root of 118347223320001 is 10878751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18713367551025 + 99633855768976 = 4325895^2 + 9981676^2 .

It is not a de Polignac number, because 118347223320001 - 219 = 118347222795713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118347223320901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62650726065 + ... + 62650727953.

Almost surely, 2118347223320001 is an apocalyptic number.

118347223320001 is the 10878751-st square number.

118347223320001 is the 5439376-th centered octagonal number.

It is an amenable number.

118347223320001 is a deficient number, since it is larger than the sum of its proper divisors (10161875416808).

118347223320001 is an frugal number, since it uses more digits than its factorization.

118347223320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 118347223320001 in words is "one hundred eighteen trillion, three hundred forty-seven billion, two hundred twenty-three million, three hundred twenty thousand, one".

Divisors: 1 13 169 443 1889 5759 24557 74867 196249 319241 836827 2551237 3568321 10878751 33166081 46388173 141423763 370714361 603046249 1580766203 4819286693 20549960639 62650727009 267149488307 700279427929 9103632563077 118347223320001