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11221021020 = 223511173132261
BaseRepresentation
bin10100111001101001…
…10011000101011100
31001222000022221002010
422130310303011130
5140440040133040
65053241231220
7545032050666
oct123464630534
931860287063
1011221021020
114838a791a0
122211a92510
13109a961a11
147863a5536
1545a19be80
hex29cd3315c

11221021020 has 192 divisors, whose sum is σ = 37463150592. Its totient is φ = 2477568000.

The previous prime is 11221021001. The next prime is 11221021061. The reversal of 11221021020 is 2012012211.

11221021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112210210202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11221020987 and 11221021005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331690 + ... + 363950.

It is an arithmetic number, because the mean of its divisors is an integer number (195120576).

Almost surely, 211221021020 is an apocalyptic number.

11221021020 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 11221021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18731575296).

11221021020 is an abundant number, since it is smaller than the sum of its proper divisors (26242129572).

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

11221021020 is a wasteful number, since it uses less digits than its factorization.

11221021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32332 (or 32330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221021020 its reverse (2012012211), we get a palindrome (13233033231).

The spelling of 11221021020 in words is "eleven billion, two hundred twenty-one million, twenty-one thousand, twenty".