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11011302322020 = 2232571113376127077
BaseRepresentation
bin1010000000111100010011…
…0000110110111101100100
31102222200002120222010101200
42200033010300312331210
52420402121343301040
635230304503322500
72214353223266430
oct240170460667544
942880076863350
1011011302322020
11356595a107810
12129a092a50430
1361b490b80370
142a0d426619c0
15141668a65630
hexa03c4c36f64

11011302322020 has 1152 divisors, whose sum is σ = 46814865656832. Its totient is φ = 2021212569600.

The previous prime is 11011302321977. The next prime is 11011302322087. The reversal of 11011302322020 is 2022320311011.

11011302322020 is a `hidden beast` number, since 1 + 10 + 11 + 302 + 322 + 0 + 20 = 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 = 11011302321984 and 11011302322002.

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, 406652722 + ... + 406679798.

It is an arithmetic number, because the mean of its divisors is an integer number (40637904216).

Almost surely, 211011302322020 is an apocalyptic number.

11011302322020 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 11011302322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23407432828416).

11011302322020 is an abundant number, since it is smaller than the sum of its proper divisors (35803563334812).

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

11011302322020 is a wasteful number, since it uses less digits than its factorization.

11011302322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27221 (or 27216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11011302322020 its reverse (2022320311011), we get a palindrome (13033622633031).

The spelling of 11011302322020 in words is "eleven trillion, eleven billion, three hundred two million, three hundred twenty-two thousand, twenty".