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11102220112200 = 2335274379778153
BaseRepresentation
bin1010000110001110111111…
…1000101101000101001000
31110022100202210211101221220
42201203233320231011020
52423344321322042300
635340142311202040
72224052235615210
oct241435770550510
943270683741856
1011102220112200
1135a0474901188
1212b3827076320
13626c1cb87649
142a54c93cb240
15143bda784da0
hexa18efe2d148

11102220112200 has 384 divisors, whose sum is σ = 40757838950400. Its totient is φ = 2447256913920.

The previous prime is 11102220112199. The next prime is 11102220112201. The reversal of 11102220112200 is 221102220111.

It is an interprime number because it is at equal distance from previous prime (11102220112199) and next prime (11102220112201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11102220112200.

It is not an unprimeable number, because it can be changed into a prime (11102220112201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13878324 + ... + 14656476.

It is an arithmetic number, because the mean of its divisors is an integer number (106140205600).

Almost surely, 211102220112200 is an apocalyptic number.

11102220112200 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 11102220112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378919475200).

11102220112200 is an abundant number, since it is smaller than the sum of its proper divisors (29655618838200).

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

11102220112200 is a wasteful number, since it uses less digits than its factorization.

11102220112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778301 (or 778292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11102220112200 its reverse (221102220111), we get a palindrome (11323322332311).

The spelling of 11102220112200 in words is "eleven trillion, one hundred two billion, two hundred twenty million, one hundred twelve thousand, two hundred".