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11001101000 = 235322748463
BaseRepresentation
bin10100011111011011…
…10111101011001000
31001101200111211112012
422033231313223020
5140012240213000
65015343435052
7536421546521
oct121755675310
931350454465
1011001101000
11473592000a
1221702b5a88
131064221826
147650b9848
15445c0a735
hex28fb77ac8

11001101000 has 64 divisors (see below), whose sum is σ = 25856513280. Its totient is φ = 4380964800.

The previous prime is 11001100993. The next prime is 11001101003. The reversal of 11001101000 is 10110011.

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

It is not an unprimeable number, because it can be changed into a prime (11001101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202769 + ... + 251231.

It is an arithmetic number, because the mean of its divisors is an integer number (404008020).

Almost surely, 211001101000 is an apocalyptic number.

11001101000 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 11001101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928256640).

11001101000 is an abundant number, since it is smaller than the sum of its proper divisors (14855412280).

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

11001101000 is a wasteful number, since it uses less digits than its factorization.

11001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48711 (or 48697 counting only the distinct ones).

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

Adding to 11001101000 its reverse (10110011), we get a palindrome (11011211011).

The spelling of 11001101000 in words is "eleven billion, one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 227 250 454 500 908 1000 1135 1816 2270 4540 5675 9080 11350 22700 28375 45400 48463 56750 96926 113500 193852 227000 242315 387704 484630 969260 1211575 1938520 2423150 4846300 6057875 9692600 11001101 12115750 22002202 24231500 44004404 48463000 55005505 88008808 110011010 220022020 275027525 440044040 550055050 1100110100 1375137625 2200220200 2750275250 5500550500 11001101000