Search a number
-
+
11022021121020 = 22357133165779901
BaseRepresentation
bin1010000001100100001110…
…1001110101001111111100
31110000200202121021112101020
42200121003221311033330
52421041044401333040
635235240244344140
72215212646500330
oct240310351651774
943020677245336
1011022021121020
11356a45a641088
1212a01846a5050
1361c4ab75c790
142a167c0537c0
15141a94aaacd0
hexa0643a753fc

11022021121020 has 384 divisors, whose sum is σ = 39218779471872. Its totient is φ = 2249938944000.

The previous prime is 11022021120919. The next prime is 11022021121021. The reversal of 11022021121020 is 2012112022011.

11022021121020 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022021121021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1113218070 + ... + 1113227970.

It is an arithmetic number, because the mean of its divisors is an integer number (102132238208).

Almost surely, 211022021121020 is an apocalyptic number.

11022021121020 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 11022021121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609389735936).

11022021121020 is an abundant number, since it is smaller than the sum of its proper divisors (28196758350852).

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

11022021121020 is a wasteful number, since it uses less digits than its factorization.

11022021121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16541 (or 16539 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11022021121020 its reverse (2012112022011), we get a palindrome (13034133143031).

Subtracting from 11022021121020 its reverse (2012112022011), we obtain a palindrome (9009909099009).

It can be divided in two parts, 1102202 and 1121020, that added together give a palindrome (2223222).

The spelling of 11022021121020 in words is "eleven trillion, twenty-two billion, twenty-one million, one hundred twenty-one thousand, twenty".