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113320211210213 = 72411971285322277
BaseRepresentation
bin11001110001000001101010…
…111011110101111111100101
3112212020022021100200221111112
4121301001222323311333211
5104323114243032211323
61041002330352514405
732604054321250400
oct3161015273657745
9485208240627445
10113320211210213
113311a916a81587
121086227154ba05
134b30085cb8537
141ddaa28320d37
15d17ababa2178
hex67106aef5fe5

113320211210213 has 48 divisors (see below), whose sum is σ = 135738745624944. Its totient is φ = 94269950530560.

The previous prime is 113320211210209. The next prime is 113320211210251. The reversal of 113320211210213 is 312012112023311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 889667741284 + 112430543468929 = 943222^2 + 10603327^2 .

It is not a de Polignac number, because 113320211210213 - 22 = 113320211210209 is a prime.

It is a super-3 number, since 3×1133202112102133 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113320211210273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5086859231 + ... + 5086881507.

It is an arithmetic number, because the mean of its divisors is an integer number (2827890533853).

Almost surely, 2113320211210213 is an apocalyptic number.

It is an amenable number.

113320211210213 is a deficient number, since it is larger than the sum of its proper divisors (22418534414731).

113320211210213 is a wasteful number, since it uses less digits than its factorization.

113320211210213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35382 (or 35375 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 113320211210213 its reverse (312012112023311), we get a palindrome (425332323233524).

The spelling of 113320211210213 in words is "one hundred thirteen trillion, three hundred twenty billion, two hundred eleven million, two hundred ten thousand, two hundred thirteen".

Divisors: 1 7 41 49 197 287 1379 2009 8077 9653 12853 22277 56539 89971 155939 395773 526973 629797 913357 1091573 2532041 3688811 4388569 6393499 17724287 25821677 30719983 44754493 103813681 124070009 179931329 215039881 286326281 726695767 1259519303 2004283967 5086870369 8816635121 11739377521 14029987769 56406277357 82175642647 394843941499 575229498529 2312657371637 2763907590493 16188601601459 113320211210213