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211113120213 = 324110111350129
BaseRepresentation
bin1100010010011101010…
…0101001000111010101
3202011220211120200111100
43010213110221013111
511424324424321323
6240552314500313
721152402625252
oct3044724510725
9664824520440
10211113120213
1181594941976
1234ab9434699
1316ba5802158
14a309dda429
155758e0a943
hex31275291d5

211113120213 has 48 divisors (see below), whose sum is σ = 318269755440. Its totient is φ = 134744064000.

The previous prime is 211113120193. The next prime is 211113120217. The reversal of 211113120213 is 312021311112.

It can be written as a sum of positive squares in 8 ways, for example, as 29844369 + 211083275844 = 5463^2 + 459438^2 .

It is a de Polignac number, because none of the positive numbers 2k-211113120213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211113120217) 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, 4186333 + ... + 4236461.

It is an arithmetic number, because the mean of its divisors is an integer number (6630619905).

Almost surely, 2211113120213 is an apocalyptic number.

It is an amenable number.

211113120213 is a deficient number, since it is larger than the sum of its proper divisors (107156635227).

211113120213 is a wasteful number, since it uses less digits than its factorization.

211113120213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50390 (or 50387 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211113120213 its reverse (312021311112), we get a palindrome (523134431325).

The spelling of 211113120213 in words is "two hundred eleven billion, one hundred thirteen million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 41 101 113 123 303 339 369 909 1017 4141 4633 11413 12423 13899 34239 37269 41697 50129 102717 150387 451161 467933 1403799 2055289 4211397 5063029 5664577 6165867 15189087 16993731 18497601 45567261 50981193 207584189 232247657 572122277 622752567 696742971 1716366831 1868257701 2090228913 5149100493 23457013357 70371040071 211113120213