Search a number
-
+
11021102022000 = 2435371012598091
BaseRepresentation
bin1010000001100000110011…
…0111101111110101110000
31110000121101112211110112210
42200120030313233311300
52421032204104201000
635235005133052120
72215151116334340
oct240301467576560
943017345743483
1011021102022000
11356a028854414
12129bb68927040
1361c393209ac5
142a15d1d64d20
15141a3e05a350
hexa060cdefd70

11021102022000 has 320 divisors, whose sum is σ = 41010113184768. Its totient is φ = 2494166400000.

The previous prime is 11021102021989. The next prime is 11021102022023. The reversal of 11021102022000 is 22020112011.

11021102022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2942955 + ... + 5541045.

Almost surely, 211021102022000 is an apocalyptic number.

11021102022000 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 11021102022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505056592384).

11021102022000 is an abundant number, since it is smaller than the sum of its proper divisors (29989011162768).

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

11021102022000 is a wasteful number, since it uses less digits than its factorization.

11021102022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598225 (or 2598209 counting only the distinct ones).

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

Adding to 11021102022000 its reverse (22020112011), we get a palindrome (11043122134011).

The spelling of 11021102022000 in words is "eleven trillion, twenty-one billion, one hundred two million, twenty-two thousand".