Search a number
-
+
11122202222100 = 22325279197794063
BaseRepresentation
bin1010000111011001011011…
…1010011001111000010100
31110101021100101200202121100
42201312112322121320110
52424211232232101400
635353245201150100
72225360353011324
oct241662672317024
943337311622540
1011122202222100
1135a89992210a2
1212b768302b330
13628a8593a308
142a6463177284
151444a9b6a100
hexa1d96e99e14

11122202222100 has 216 divisors, whose sum is σ = 35482463976960. Its totient is φ = 2913508765440.

The previous prime is 11122202222093. The next prime is 11122202222101. The reversal of 11122202222100 is 122220222111.

It is a happy number.

11122202222100 is a `hidden beast` number, since 1 + 1 + 12 + 220 + 222 + 210 + 0 = 666.

11122202222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122202222101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13609669 + ... + 14403731.

It is an arithmetic number, because the mean of its divisors is an integer number (164270666560).

Almost surely, 211122202222100 is an apocalyptic number.

11122202222100 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 11122202222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741231988480).

11122202222100 is an abundant number, since it is smaller than the sum of its proper divisors (24360261754860).

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

11122202222100 is a wasteful number, since it uses less digits than its factorization.

11122202222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794359 (or 794349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11122202222100 its reverse (122220222111), we get a palindrome (11244422444211).

The spelling of 11122202222100 in words is "eleven trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty-two thousand, one hundred".