Search a number
-
+
1200211320221 = 291132833129281
BaseRepresentation
bin10001011101110010001…
…010110101110110011101
311020201221210100021211022
4101131302022311312131
5124131013044221341
62315211445533525
7152466232615664
oct21356212656635
94221853307738
101200211320221
11423009001101
121747384142a5
1389244306764
144213a615ddb
152134852de4b
hex117722b5d9d

1200211320221 has 16 divisors (see below), whose sum is σ = 1253037342960. Its totient is φ = 1148155330560.

The previous prime is 1200211320173. The next prime is 1200211320239. The reversal of 1200211320221 is 1220231120021.

It can be written as a sum of positive squares in 8 ways, for example, as 1155660025 + 1199055660196 = 33995^2 + 1095014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200211320221 - 222 = 1200207125917 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1200211320221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200211320241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9219101 + ... + 9348381.

It is an arithmetic number, because the mean of its divisors is an integer number (78314833935).

Almost surely, 21200211320221 is an apocalyptic number.

It is an amenable number.

1200211320221 is a deficient number, since it is larger than the sum of its proper divisors (52826022739).

1200211320221 is a wasteful number, since it uses less digits than its factorization.

1200211320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132256.

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

Adding to 1200211320221 its reverse (1220231120021), we get a palindrome (2420442440242).

The spelling of 1200211320221 in words is "one trillion, two hundred billion, two hundred eleven million, three hundred twenty thousand, two hundred twenty-one".

Divisors: 1 29 113 2833 3277 82157 129281 320129 3749149 9283741 14608753 366253073 423653837 10621339117 41386597249 1200211320221