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11211212201 = 721014574957
BaseRepresentation
bin10100111000011110…
…11000010110101001
31001221022212120220112
422130033120112221
5140430032242301
65052251104105
7544552505600
oct123417302651
931838776815
1011211212201
114833489732
12220a742035
131098909197
14784d70a37
154593b09bb
hex29c3d85a9

11211212201 has 24 divisors (see below), whose sum is σ = 13202221896. Its totient is φ = 9491731200.

The previous prime is 11211212191. The next prime is 11211212227. The reversal of 11211212201 is 10221211211.

11211212201 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 8745990400 + 2465221801 = 93520^2 + 49651^2 .

It is a de Polignac number, because none of the positive numbers 2k-11211212201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11211212251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259215 + ... + 2264171.

It is an arithmetic number, because the mean of its divisors is an integer number (550092579).

Almost surely, 211211212201 is an apocalyptic number.

It is an amenable number.

11211212201 is a deficient number, since it is larger than the sum of its proper divisors (1991009695).

11211212201 is a wasteful number, since it uses less digits than its factorization.

11211212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11211212201 its reverse (10221211211), we get a palindrome (21432423412).

The spelling of 11211212201 in words is "eleven billion, two hundred eleven million, two hundred twelve thousand, two hundred one".

Divisors: 1 7 49 101 457 707 3199 4949 4957 22393 34699 46157 242893 323099 500657 2261693 2265349 3504599 15857443 24532193 111002101 228800249 1601601743 11211212201