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112001220002201 = 17157293337342461
BaseRepresentation
bin11001011101110101010000…
…111011101100000110011001
3112200120012201121001011110212
4121131311100323230012121
5104140011444310032301
61034112352233420505
732406551433051425
oct3135652073540631
9480505647034425
10112001220002201
11327614a5909762
121068a705b6a735
134a6589251140a
141d92c60849b85
15ce361e87c4bb
hex65dd50eec199

112001220002201 has 32 divisors (see below), whose sum is σ = 119790519051168. Its totient is φ = 104350609059840.

The previous prime is 112001220002197. The next prime is 112001220002209. The reversal of 112001220002201 is 102200022100211.

It can be written as a sum of positive squares in 16 ways, for example, as 39239449939600 + 72761770062601 = 6264140^2 + 8530051^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001220002201 - 22 = 112001220002197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112001220002209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637722111 + ... + 2637764571.

It is an arithmetic number, because the mean of its divisors is an integer number (3743453720349).

Almost surely, 2112001220002201 is an apocalyptic number.

It is an amenable number.

112001220002201 is a deficient number, since it is larger than the sum of its proper divisors (7789299048967).

112001220002201 is a wasteful number, since it uses less digits than its factorization.

112001220002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46301.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112001220002201 its reverse (102200022100211), we get a palindrome (214201242102412).

The spelling of 112001220002201 in words is "one hundred twelve trillion, one billion, two hundred twenty million, two thousand, two hundred one".

Divisors: 1 17 157 293 2669 3373 4981 42461 46001 57341 529561 721837 782017 988289 6666377 9002537 12441073 16800913 113328409 143220953 155161373 211498241 1953248461 2434756201 2637743341 22485689621 33205223837 41963739229 382256723557 713383566893 6588307058953 112001220002201