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11022011231220 = 223251147265944543
BaseRepresentation
bin1010000001100100001100…
…0100000110101111110100
31110000200201220200002010100
42200121003010012233310
52421041034333344340
635235235252354100
72215212466440153
oct240310304065764
943020656602110
1011022011231220
11356a454aa67a0
1212a0181315930
1361c4a96a9122
142a167a9db59a
15141a93ca5830
hexa0643106bf4

11022011231220 has 288 divisors, whose sum is σ = 37263700131840. Its totient is φ = 2614109402880.

The previous prime is 11022011231201. The next prime is 11022011231221. The reversal of 11022011231220 is 2213211022011.

11022011231220 is a `hidden beast` number, since 1 + 1 + 0 + 220 + 112 + 312 + 20 = 666.

It is a super-2 number, since 2×110220112312202 (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 = 11022011231193 and 11022011231202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022011231221) 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, 247424269 + ... + 247468811.

It is an arithmetic number, because the mean of its divisors is an integer number (129387847680).

Almost surely, 211022011231220 is an apocalyptic number.

11022011231220 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 11022011231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18631850065920).

11022011231220 is an abundant number, since it is smaller than the sum of its proper divisors (26241688900620).

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

11022011231220 is a wasteful number, since it uses less digits than its factorization.

11022011231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47275 (or 47270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11022011231220 its reverse (2213211022011), we get a palindrome (13235222253231).

The spelling of 11022011231220 in words is "eleven trillion, twenty-two billion, eleven million, two hundred thirty-one thousand, two hundred twenty".