Search a number
-
+
1000212122201 = 471071792394649
BaseRepresentation
bin11101000111000010100…
…10011100101001011001
310112121201111120100102212
432203201102130221121
5112341413300402301
62043254025004505
7132156121522055
oct16434122345131
93477644510385
101000212122201
113562077384a6
12141a21023735
1373420208636
14365a66a2c65
151b0401b74bb
hexe8e149ca59

1000212122201 has 32 divisors (see below), whose sum is σ = 1041361920000. Its totient is φ = 960122783872.

The previous prime is 1000212122167. The next prime is 1000212122207. The reversal of 1000212122201 is 1022212120001.

It is a cyclic number.

It is not a de Polignac number, because 1000212122201 - 210 = 1000212121177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000212122207) 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 31 ways as a sum of consecutive naturals, for example, 215143325 + ... + 215147973.

It is an arithmetic number, because the mean of its divisors is an integer number (32542560000).

Almost surely, 21000212122201 is an apocalyptic number.

It is an amenable number.

1000212122201 is a deficient number, since it is larger than the sum of its proper divisors (41149797799).

1000212122201 is a wasteful number, since it uses less digits than its factorization.

1000212122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000212122201 its reverse (1022212120001), we get a palindrome (2022424242202).

It can be divided in two parts, 100021 and 2122201, that added together give a palindrome (2222222).

The spelling of 1000212122201 in words is "one trillion, two hundred twelve million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 47 107 179 239 4649 5029 8413 11233 19153 25573 42781 218503 497443 832171 900191 1111111 1201931 2010707 4577567 23379821 39112037 52222217 89042297 118888877 198888869 215145649 4184987959 5587777219 9347776843 21281108983 1000212122201