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11021123221020 = 22325117189880871
BaseRepresentation
bin1010000001100000111000…
…1000100111011000011100
31110000121110000201111010200
42200120032020213120130
52421032230021033040
635235011211303500
72215151464456143
oct240301610473034
943017400644120
1011021123221020
11356a039813570
12129bb73a4ab90
1361c39771cbc3
142a15d4ac275a
15141a40d46630
hexa060e22761c

11021123221020 has 288 divisors, whose sum is σ = 37399147269120. Its totient is φ = 2604556416000.

The previous prime is 11021123220979. The next prime is 11021123221057. The reversal of 11021123221020 is 2012232112011.

11021123221020 is a `hidden beast` number, since 1 + 10 + 211 + 232 + 210 + 2 + 0 = 666.

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 = 11021123220984 and 11021123221002.

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 95 ways as a sum of consecutive naturals, for example, 12071185 + ... + 12952055.

It is an arithmetic number, because the mean of its divisors is an integer number (129858150240).

Almost surely, 211021123221020 is an apocalyptic number.

11021123221020 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 11021123221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699573634560).

11021123221020 is an abundant number, since it is smaller than the sum of its proper divisors (26378024048100).

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

11021123221020 is a wasteful number, since it uses less digits than its factorization.

11021123221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881057 (or 881052 counting only the distinct ones).

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

Adding to 11021123221020 its reverse (2012232112011), we get a palindrome (13033355333031).

The spelling of 11021123221020 in words is "eleven trillion, twenty-one billion, one hundred twenty-three million, two hundred twenty-one thousand, twenty".