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212012312201 = 1572655750849
BaseRepresentation
bin1100010101110011101…
…0110010011010001001
3202021020111120101000022
43011130322302122021
511433200122442301
6241221435350225
721213601630244
oct3053472623211
9667214511008
10212012312201
1181a06472148
123510a5b2375
1316cb9ba4b11
14a3935c625b
1557acd27d1b
hex315ceb2689

212012312201 has 8 divisors (see below), whose sum is σ = 213374939400. Its totient is φ = 210649840128.

The previous prime is 212012312159. The next prime is 212012312221. The reversal of 212012312201 is 102213210212.

212012312201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24675697225 + 187336614976 = 157085^2 + 432824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212012312201 - 218 = 212012050057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212012312201.

It is not an unprimeable number, because it can be changed into a prime (212012312221) 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 7 ways as a sum of consecutive naturals, for example, 4144025 + ... + 4194873.

It is an arithmetic number, because the mean of its divisors is an integer number (26671867425).

Almost surely, 2212012312201 is an apocalyptic number.

It is an amenable number.

212012312201 is a deficient number, since it is larger than the sum of its proper divisors (1362627199).

212012312201 is a wasteful number, since it uses less digits than its factorization.

212012312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77563.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212012312201 its reverse (102213210212), we get a palindrome (314225522413).

The spelling of 212012312201 in words is "two hundred twelve billion, twelve million, three hundred twelve thousand, two hundred one".

Divisors: 1 157 26557 50849 4169449 7983293 1350396893 212012312201