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10011100101000 = 2335337642714033
BaseRepresentation
bin1001000110101110010000…
…0100001011100110001000
31022110001101210000210211020
42101223210010023212020
52303010213111213000
633143011430432440
72052164251552635
oct221534404134610
938401353023736
1010011100101000
11320a758022209
121158275202720
13578072a3061b
1426877b41918c
151256296a6ba0
hex91ae410b988

10011100101000 has 256 divisors, whose sum is σ = 32086089135360. Its totient is φ = 2596885401600.

The previous prime is 10011100100977. The next prime is 10011100101043. The reversal of 10011100101000 is 10100111001.

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 10011100101000.

It is an unprimeable number.

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, 713389984 + ... + 713404016.

It is an arithmetic number, because the mean of its divisors is an integer number (125336285685).

Almost surely, 210011100101000 is an apocalyptic number.

10011100101000 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 10011100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043044567680).

10011100101000 is an abundant number, since it is smaller than the sum of its proper divisors (22074989034360).

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

10011100101000 is a wasteful number, since it uses less digits than its factorization.

10011100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20521 (or 20507 counting only the distinct ones).

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

Adding to 10011100101000 its reverse (10100111001), we get a palindrome (10021200212001).

The spelling of 10011100101000 in words is "ten trillion, eleven billion, one hundred million, one hundred one thousand".