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11020221120200 = 23521012394914649
BaseRepresentation
bin1010000001011101100001…
…0111010111111011001000
31110000112010011021000110012
42200113120113113323020
52421023403101321300
635234341504211052
72215120231650455
oct240273027277310
943015104230405
1011020221120200
1135697165868a6
12129b961909a88
1361c28286c236
142a154ad7a82c
151419dba52435
hexa05d85d7ec8

11020221120200 has 192 divisors, whose sum is σ = 26042484960000. Its totient is φ = 4336398080000.

The previous prime is 11020221120197. The next prime is 11020221120263. The reversal of 11020221120200 is 202112202011.

11020221120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370447476 + ... + 2370452124.

It is an arithmetic number, because the mean of its divisors is an integer number (135637942500).

Almost surely, 211020221120200 is an apocalyptic number.

11020221120200 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 11020221120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13021242480000).

11020221120200 is an abundant number, since it is smaller than the sum of its proper divisors (15022263839800).

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

11020221120200 is a wasteful number, since it uses less digits than its factorization.

11020221120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5487 counting only the distinct ones).

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

Adding to 11020221120200 its reverse (202112202011), we get a palindrome (11222333322211).

It can be divided in two parts, 1102022 and 1120200, that added together give a palindrome (2222222).

The spelling of 11020221120200 in words is "eleven trillion, twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".