Search a number
-
+
11210222100 = 22352711975003
BaseRepresentation
bin10100111000010111…
…00110101000010100
31001221021000021202010
422130023212220110
5140424304101400
65052213544220
7544541213160
oct123413465024
931837007663
1011210222100
114832972870
12220a345070
13109865061c
14784b93ca0
15459267450
hex29c2e6a14

11210222100 has 288 divisors, whose sum is σ = 40863384576. Its totient is φ = 2304921600.

The previous prime is 11210222099. The next prime is 11210222131. The reversal of 11210222100 is 122201211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2238199 + ... + 2243201.

It is an arithmetic number, because the mean of its divisors is an integer number (141886752).

Almost surely, 211210222100 is an apocalyptic number.

11210222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431692288).

11210222100 is an abundant number, since it is smaller than the sum of its proper divisors (29653162476).

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

11210222100 is a wasteful number, since it uses less digits than its factorization.

11210222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11210222100 its reverse (122201211), we get a palindrome (11332423311).

The spelling of 11210222100 in words is "eleven billion, two hundred ten million, two hundred twenty-two thousand, one hundred".