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11101001001000 = 23353101136726801
BaseRepresentation
bin1010000110001010011100…
…1110001010100000101000
31110022020121211212010210020
42201202213032022200220
52423334322224013000
635335421321320440
72224010103422151
oct241424716124050
943266554763706
1011101001001000
11359a9a9731969
1212b3546936120
13626a87431481
142a5411524928
15143b68721ba0
hexa18a738a828

11101001001000 has 256 divisors, whose sum is σ = 35004938641920. Its totient is φ = 2928704000000.

The previous prime is 11101001000939. The next prime is 11101001001007. The reversal of 11101001001000 is 10010010111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11101001001000.

It is not an unprimeable number, because it can be changed into a prime (11101001001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414187600 + ... + 414214400.

It is an arithmetic number, because the mean of its divisors is an integer number (136738041570).

Almost surely, 211101001001000 is an apocalyptic number.

11101001001000 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 11101001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502469320960).

11101001001000 is an abundant number, since it is smaller than the sum of its proper divisors (23903937640920).

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

11101001001000 is a wasteful number, since it uses less digits than its factorization.

11101001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28293 (or 28279 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11101001001000 its reverse (10010010111), we get a palindrome (11111011011111).

The spelling of 11101001001000 in words is "eleven trillion, one hundred one billion, one million, one thousand".