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211102042041 = 32115340232903
BaseRepresentation
bin1100010010011010101…
…0011000011110111001
3202011220001201212002200
43010212222120132321
511424314110321131
6240551241220413
721152206515342
oct3044652303671
9664801655080
10211102042041
1181589665760
1234ab5791709
1316ba3423917
14a3087550c9
155757e6d2e6
hex3126a987b9

211102042041 has 24 divisors (see below), whose sum is σ = 338921983296. Its totient is φ = 125526654240.

The previous prime is 211102042033. The next prime is 211102042079. The reversal of 211102042041 is 140240201112.

211102042041 is a `hidden beast` number, since 211 + 10 + 20 + 420 + 4 + 1 = 666.

211102042041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211102042041 - 23 = 211102042033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211102042001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20111205 + ... + 20121698.

It is an arithmetic number, because the mean of its divisors is an integer number (14121749304).

Almost surely, 2211102042041 is an apocalyptic number.

It is an amenable number.

211102042041 is a deficient number, since it is larger than the sum of its proper divisors (127819941255).

211102042041 is a wasteful number, since it uses less digits than its factorization.

211102042041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40232973 (or 40232970 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211102042041 its reverse (140240201112), we get a palindrome (351342243153).

The spelling of 211102042041 in words is "two hundred eleven billion, one hundred two million, forty-two thousand, forty-one".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 40232903 120698709 362096127 442561933 1327685799 2132343859 3983057397 6397031577 19191094731 23455782449 70367347347 211102042041