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11220210221220 = 2232571113227397691
BaseRepresentation
bin1010001101000110100010…
…1001010000000010100100
31110201122022202000222100200
42203101220221100002210
52432312442304034340
635510254324510500
72235430161162150
oct243215051200244
943648282028320
1011220210221220
113636512183480
12131267584b430
136350a48435c0
142ab0bd822060
15146ce4072330
hexa3468a500a4

11220210221220 has 1152 divisors, whose sum is σ = 46080366538752. Its totient is φ = 2134157414400.

The previous prime is 11220210221179. The next prime is 11220210221243. The reversal of 11220210221220 is 2212201202211.

It is a happy number.

11220210221220 is a `hidden beast` number, since 1 + 1 + 220 + 2 + 1 + 0 + 221 + 220 = 666.

It is a super-2 number, since 2×112202102212202 (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 = 11220210221193 and 11220210221202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16237641075 + ... + 16237641765.

It is an arithmetic number, because the mean of its divisors is an integer number (40000318176).

Almost surely, 211220210221220 is an apocalyptic number.

11220210221220 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 11220210221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040183269376).

11220210221220 is an abundant number, since it is smaller than the sum of its proper divisors (34860156317532).

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

11220210221220 is a wasteful number, since it uses less digits than its factorization.

11220210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1356 counting only the distinct ones).

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

Adding to 11220210221220 its reverse (2212201202211), we get a palindrome (13432411423431).

The spelling of 11220210221220 in words is "eleven trillion, two hundred twenty billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".