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11011010000 = 24542943883
BaseRepresentation
bin10100100000100111…
…01010110111010000
31001102101011021010012
422100103222313100
5140022304310000
65020340054052
7536602016654
oct122023526720
931371137105
1011011010000
114740478871
122173694328
1310662b0b43
14766538a64
15446a16735
hex2904eadd0

11011010000 has 200 divisors, whose sum is σ = 28251331680. Its totient is φ = 4148928000.

The previous prime is 11011009987. The next prime is 11011010053. The reversal of 11011010000 is 1011011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12469559 + ... + 12470441.

Almost surely, 211011010000 is an apocalyptic number.

11011010000 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 11011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125665840).

11011010000 is an abundant number, since it is smaller than the sum of its proper divisors (17240321680).

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

11011010000 is an equidigital number, since it uses as much as digits as its factorization.

11011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11011010000 its reverse (1011011), we get a palindrome (11012021011).

It can be divided in two parts, 1101 and 1010000, that added together give a palindrome (1011101).

The spelling of 11011010000 in words is "eleven billion, eleven million, ten thousand".