Search a number
-
+
11011220233020 = 22325743226317971
BaseRepresentation
bin1010000000111011111111…
…0111101101101100111100
31102222122212212111120110100
42200032333313231230330
52420401434334424040
635230252412041100
72214351205453050
oct240167767555474
942878785446410
1011011220233020
11356591783a067
12129a06b463190
1361b479b6b1a7
142a0d357b3c60
1514166174cb30
hexa03bfdedb3c

11011220233020 has 432 divisors, whose sum is σ = 39231379579392. Its totient is φ = 2448835441920.

The previous prime is 11011220233007. The next prime is 11011220233021. The reversal of 11011220233020 is 2033202211011.

11011220233020 is a `hidden beast` number, since 1 + 1 + 0 + 112 + 202 + 330 + 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 = 11011220232984 and 11011220233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011220233021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 612712635 + ... + 612730605.

It is an arithmetic number, because the mean of its divisors is an integer number (90813378656).

Almost surely, 211011220233020 is an apocalyptic number.

11011220233020 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 11011220233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615689789696).

11011220233020 is an abundant number, since it is smaller than the sum of its proper divisors (28220159346372).

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

11011220233020 is a wasteful number, since it uses less digits than its factorization.

11011220233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 18294 counting only the distinct ones).

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

Adding to 11011220233020 its reverse (2033202211011), we get a palindrome (13044422444031).

The spelling of 11011220233020 in words is "eleven trillion, eleven billion, two hundred twenty million, two hundred thirty-three thousand, twenty".