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10000010000 = 24541019901
BaseRepresentation
bin10010101000000110…
…00000101100010000
3221210220210010211202
421110003000230100
5130440000310000
64332142530332
7502544453051
oct112403005420
927726703752
1010000010000
114271821582
121b30b969a8
13c349c1ba6
146ac166728
153d7db0dd5
hex2540c0b10

10000010000 has 100 divisors (see below), whose sum is σ = 24453206844. Its totient is φ = 3960000000.

The previous prime is 10000009997. The next prime is 10000010071. The reversal of 10000010000 is 1000001.

It can be written as a sum of positive squares in 10 ways, for example, as 2166343936 + 7833666064 = 46544^2 + 88508^2 .

It is a sliding number, since 10000010000 = 10000 + 10000000000 and 1/10000 + 1/10000000000 = 0.00010000010000.

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 (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 1005050 + ... + 1014950.

Almost surely, 210000010000 is an apocalyptic number.

10000010000 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 10000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226603422).

10000010000 is an abundant number, since it is smaller than the sum of its proper divisors (14453196844).

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

10000010000 is an equidigital number, since it uses as much as digits as its factorization.

10000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 10000010000 its reverse (1000001), we get a palindrome (10001010001).

Subtracting from 10000010000 its reverse (1000001), we obtain a palindrome (9999009999).

10000010000 divided by its reverse (1000001) gives a 4-th power (10000 = 104).

The spelling of 10000010000 in words is "ten billion, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 9901 10000 10100 12625 19802 20200 25250 39604 40400 49505 50500 63125 79208 99010 101000 126250 158416 198020 202000 247525 252500 396040 495050 505000 792080 990100 1000001 1010000 1237625 1980200 2000002 2475250 3960400 4000004 4950500 5000005 6188125 8000008 9901000 10000010 12376250 16000016 19802000 20000020 24752500 25000025 40000040 49505000 50000050 80000080 99010000 100000100 125000125 200000200 250000250 400000400 500000500 625000625 1000001000 1250001250 2000002000 2500002500 5000005000 10000010000