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10001111000 = 235341923869
BaseRepresentation
bin10010101000001110…
…01101011111011000
3221210222212002010112
421110013031133120
5130440241023000
64332222303452
7502560020006
oct112407153730
927728762115
1010001111000
1142724037a1
121b31427b88
13c34cb907a
146ac371a76
153d802c235
hex2541cd7d8

10001111000 has 64 divisors (see below), whose sum is σ = 23459436000. Its totient is φ = 3990729600.

The previous prime is 10001110963. The next prime is 10001111023. The reversal of 10001111000 is 11110001.

10001111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407066 + ... + 430934.

Almost surely, 210001111000 is an apocalyptic number.

10001111000 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 10001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11729718000).

10001111000 is an abundant number, since it is smaller than the sum of its proper divisors (13458325000).

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

10001111000 is a wasteful number, since it uses less digits than its factorization.

10001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24309 (or 24295 counting only the distinct ones).

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

Adding to 10001111000 its reverse (11110001), we get a palindrome (10012221001).

Subtracting from 10001111000 its reverse (11110001), we obtain a palindrome (9990000999).

The spelling of 10001111000 in words is "ten billion, one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 419 500 838 1000 1676 2095 3352 4190 8380 10475 16760 20950 23869 41900 47738 52375 83800 95476 104750 119345 190952 209500 238690 419000 477380 596725 954760 1193450 2386900 2983625 4773800 5967250 10001111 11934500 20002222 23869000 40004444 50005555 80008888 100011110 200022220 250027775 400044440 500055550 1000111100 1250138875 2000222200 2500277750 5000555500 10001111000