Search a number
-
+
11236313088 = 2113372111329
BaseRepresentation
bin10100111011011110…
…01000100000000000
31002000002002211212000
422131233020200000
5141002444004323
65054545104000
7545306041200
oct123557104000
932002084760
1011236313088
114846673370
122217028000
1310a0b87290
14788426400
1545b6bce43
hex29dbc8800

11236313088 has 1152 divisors, whose sum is σ = 47056464000. Its totient is φ = 2601123840.

The previous prime is 11236313083. The next prime is 11236313111. The reversal of 11236313088 is 88031363211.

11236313088 is a `hidden beast` number, since 1 + 12 + 3 + 631 + 3 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11236313083) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 387459058 + ... + 387459086.

It is an arithmetic number, because the mean of its divisors is an integer number (40847625).

Almost surely, 211236313088 is an apocalyptic number.

11236313088 is a gapful number since it is divisible by the number (18) 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 11236313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232000).

11236313088 is an abundant number, since it is smaller than the sum of its proper divisors (35820150912).

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

11236313088 is a wasteful number, since it uses less digits than its factorization.

11236313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 11236313088 its reverse (88031363211), we get a palindrome (99267676299).

The spelling of 11236313088 in words is "eleven billion, two hundred thirty-six million, three hundred thirteen thousand, eighty-eight".