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11101200022220 = 225711195943314851
BaseRepresentation
bin1010000110001011001100…
…0101010111101011001100
31110022021010201100110120112
42201202303011113223030
52423340224201202340
635335453151135152
72224015041162020
oct241426305275314
943267121313515
1011101200022220
11359aaa1006510
1212b35a15144b8
13626ab97350c9
142a542db30380
15143b7ae36065
hexa18b3157acc

11101200022220 has 384 divisors, whose sum is σ = 31187203891200. Its totient is φ = 3214785024000.

The previous prime is 11101200022177. The next prime is 11101200022247. The reversal of 11101200022220 is 2222000210111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11101200022195 and 11101200022204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 747497795 + ... + 747512645.

It is an arithmetic number, because the mean of its divisors is an integer number (81216676800).

Almost surely, 211101200022220 is an apocalyptic number.

11101200022220 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 11101200022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593601945600).

11101200022220 is an abundant number, since it is smaller than the sum of its proper divisors (20086003868980).

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

11101200022220 is a wasteful number, since it uses less digits than its factorization.

11101200022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15387 counting only the distinct ones).

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

Adding to 11101200022220 its reverse (2222000210111), we get a palindrome (13323200232331).

The spelling of 11101200022220 in words is "eleven trillion, one hundred one billion, two hundred million, twenty-two thousand, two hundred twenty".