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11022201221220 = 22335729131767551
BaseRepresentation
bin1010000001100100111001…
…1000110111000001100100
31110000201020011011120102000
42200121032120313001210
52421041432003034340
635235310200445300
72215220264353650
oct240311630670144
943021204146360
1011022201221220
11356a542272022
1212a0214a79830
1361c509b6a147
142a1697d35a60
15141aa57d3d30
hexa064e637064

11022201221220 has 384 divisors, whose sum is σ = 40850959564800. Its totient is φ = 2413914048000.

The previous prime is 11022201221201. The next prime is 11022201221243. The reversal of 11022201221220 is 2212210222011.

It is a happy number.

11022201221220 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 220 + 1 + 221 + 220 = 666.

It is a super-2 number, since 2×110222012212202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11022201221193 and 11022201221202.

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, 13976445 + ... + 14743995.

It is an arithmetic number, because the mean of its divisors is an integer number (106382707200).

Almost surely, 211022201221220 is an apocalyptic number.

11022201221220 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 11022201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20425479782400).

11022201221220 is an abundant number, since it is smaller than the sum of its proper divisors (29828758343580).

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

11022201221220 is a wasteful number, since it uses less digits than its factorization.

11022201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767736 (or 767728 counting only the distinct ones).

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

Adding to 11022201221220 its reverse (2212210222011), we get a palindrome (13234411443231).

The spelling of 11022201221220 in words is "eleven trillion, twenty-two billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".