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212122021201 = 17109114474917
BaseRepresentation
bin1100010110001101110…
…1010010110101010001
3202021112011000011110121
43011203131102311101
511433411214134301
6241240355030241
721216403300456
oct3054335226521
9667464004417
10212122021201
1181a62395142
123513b29b381
131700683789c
14a3a3dc382d
1557b77993a1
hex3163752d51

212122021201 has 8 divisors (see below), whose sum is σ = 226660337640. Its totient is φ = 197812654848.

The previous prime is 212122021183. The next prime is 212122021207. The reversal of 212122021201 is 102120221212.

It is a happy number.

212122021201 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 47403740176 + 164718281025 = 217724^2 + 405855^2 .

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 212122021201 - 219 = 212121496913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212122021207) 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, 57235606 + ... + 57239311.

It is an arithmetic number, because the mean of its divisors is an integer number (28332542205).

Almost surely, 2212122021201 is an apocalyptic number.

It is an amenable number.

212122021201 is a deficient number, since it is larger than the sum of its proper divisors (14538316439).

212122021201 is a wasteful number, since it uses less digits than its factorization.

212122021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114475043.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212122021201 its reverse (102120221212), we get a palindrome (314242242413).

The spelling of 212122021201 in words is "two hundred twelve billion, one hundred twenty-two million, twenty-one thousand, two hundred one".

Divisors: 1 17 109 1853 114474917 1946073589 12477765953 212122021201