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10001110000 = 24547142873
BaseRepresentation
bin10010101000001110…
…01101001111110000
3221210222212000202111
421110013031033300
5130440241010000
64332222255104
7502560014050
oct112407151760
927728760674
1010001110000
114272402a72
121b31427494
13c34cb878b
146ac371560
153d802bcba
hex2541cd3f0

10001110000 has 100 divisors (see below), whose sum is σ = 27672979312. Its totient is φ = 3428928000.

The previous prime is 10001109997. The next prime is 10001110099. The reversal of 10001110000 is 1110001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1437 + ... + 141436.

Almost surely, 210001110000 is an apocalyptic number.

10001110000 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 10001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836489656).

10001110000 is an abundant number, since it is smaller than the sum of its proper divisors (17671869312).

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

10001110000 is an equidigital number, since it uses as much as digits as its factorization.

10001110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142908 (or 142887 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10001110000 its reverse (1110001), we get a palindrome (10002220001).

Subtracting from 10001110000 its reverse (1110001), we obtain a palindrome (9999999999).

It can be divided in two parts, 100011 and 10000, that added together give a palindrome (110011).

The spelling of 10001110000 in words is "ten billion, one million, one hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 142873 285746 571492 714365 1000111 1142984 1428730 2000222 2285968 2857460 3571825 4000444 5000555 5714920 7143650 8000888 10001110 11429840 14287300 16001776 17859125 20002220 25002775 28574600 35718250 40004440 50005550 57149200 71436500 80008880 89295625 100011100 125013875 142873000 178591250 200022200 250027750 285746000 357182500 400044400 500055500 625069375 714365000 1000111000 1250138750 1428730000 2000222000 2500277500 5000555000 10001110000