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110200202013213 = 32136242091508921
BaseRepresentation
bin11001000011100111111011…
…111001010010101000011101
3112110012000222112221210122100
4121003213323321102220131
5103421010003203410323
61030213135055435313
732132462510534424
oct3103477371225035
9473160875853570
10110200202013213
1132127709139964
1210439654825b39
134964ab0401080
141d2da0abaa2bb
15cb186078c943
hex6439fbe52a1d

110200202013213 has 24 divisors (see below), whose sum is σ = 171422924694840. Its totient is φ = 67815355345920.

The previous prime is 110200202013197. The next prime is 110200202013229. The reversal of 110200202013213 is 312310202002011.

It is an interprime number because it is at equal distance from previous prime (110200202013197) and next prime (110200202013229).

It can be written as a sum of positive squares in 4 ways, for example, as 2876341376484 + 107323860636729 = 1695978^2 + 10359723^2 .

It is not a de Polignac number, because 110200202013213 - 24 = 110200202013197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110200202013233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72277993 + ... + 73786913.

It is an arithmetic number, because the mean of its divisors is an integer number (7142621862285).

Almost surely, 2110200202013213 is an apocalyptic number.

110200202013213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110200202013213 is a deficient number, since it is larger than the sum of its proper divisors (61222722681627).

110200202013213 is a wasteful number, since it uses less digits than its factorization.

110200202013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133149 (or 2133146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110200202013213 its reverse (312310202002011), we get a palindrome (422510404015224).

The spelling of 110200202013213 in words is "one hundred ten trillion, two hundred billion, two hundred two million, thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 624209 1508921 1872627 4526763 5617881 8114717 13580289 19615973 24344151 58847919 73032453 176543757 941882068489 2825646205467 8476938616401 12244466890357 36733400671071 110200202013213