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11212210000 = 24541121221
BaseRepresentation
bin10100111000100110…
…01011111101010000
31001221101202021122001
422130103023331100
5140430311210000
65052324323344
7544564132615
oct123423137520
931841667561
1011212210000
114834000362
12220ab43554
131098b983b4
1478515050c
1545950b46a
hex29c4cbf50

11212210000 has 50 divisors (see below), whose sum is σ = 27145905842. Its totient is φ = 4484880000.

The previous prime is 11212209997. The next prime is 11212210001. The reversal of 11212210000 is 1221211.

11212210000 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 5 ways, for example, as 3326059584 + 7886150416 = 57672^2 + 88804^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212210001) 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 9 ways as a sum of consecutive naturals, for example, 550611 + ... + 570610.

Almost surely, 211212210000 is an apocalyptic number.

11212210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212210000 is an abundant number, since it is smaller than the sum of its proper divisors (15933695842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11212210000 is an equidigital number, since it uses as much as digits as its factorization.

11212210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121249 (or 1121228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11212210000 its reverse (1221211), we get a palindrome (11213431211).

The spelling of 11212210000 in words is "eleven billion, two hundred twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1121221 2242442 4484884 5606105 8969768 11212210 17939536 22424420 28030525 44848840 56061050 89697680 112122100 140152625 224244200 280305250 448488400 560610500 700763125 1121221000 1401526250 2242442000 2803052500 5606105000 11212210000