Search a number
-
+
11020112544 = 253732314551
BaseRepresentation
bin10100100001101100…
…11001001010100000
31001110000021201110110
422100312121022200
5140032122100134
65021303131320
7540042261000
oct122066311240
931400251413
1011020112544
114745625731
122176743b40
13106814a06c
14767828000
154477137e9
hex290d992a0

11020112544 has 192 divisors, whose sum is σ = 35204198400. Its totient is φ = 3011500800.

The previous prime is 11020112539. The next prime is 11020112599. The reversal of 11020112544 is 44521102011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11020112544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750069 + ... + 764619.

It is an arithmetic number, because the mean of its divisors is an integer number (183355200).

Almost surely, 211020112544 is an apocalyptic number.

11020112544 is a gapful number since it is divisible by the number (14) 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 11020112544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602099200).

11020112544 is an abundant number, since it is smaller than the sum of its proper divisors (24184085856).

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

11020112544 is a wasteful number, since it uses less digits than its factorization.

11020112544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14608 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11020112544 its reverse (44521102011), we get a palindrome (55541214555).

The spelling of 11020112544 in words is "eleven billion, twenty million, one hundred twelve thousand, five hundred forty-four".