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BaseRepresentation
bin10010101001010010…
…00111101010000000
3221211121120200112202
421110221013222000
5131000030000000
64333141012332
7503025411320
oct112451075200
927747520482
1010010000000
114277425180
121b343b40a8
13c36aac030
153d8bd5dd5
hex254a47a80

10010000000 has 512 divisors, whose sum is σ = 33468664320. Its totient is φ = 2880000000.

The previous prime is 10009999997. The next prime is 10010000029. The reversal of 10010000000 is 1001.

Adding to 10010000000 its reverse (1001), we get a palindrome (10010001001).

10010000000 divided by its reverse (1001) gives a 7-th power (10000000 = 107).

It is a sliding number, since 10010000000 = 10000000 + 10000000000 and 1/10000000 + 1/10000000000 = 0.00000010010000000.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769999994 + ... + 770000006.

It is an arithmetic number, because the mean of its divisors is an integer number (65368485).

Almost surely, 210010000000 is an apocalyptic number.

10010000000 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 10010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734332160).

10010000000 is an abundant number, since it is smaller than the sum of its proper divisors (23458664320).

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

10010000000 is an frugal number, since it uses more digits than its factorization.

10010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

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

The spelling of 10010000000 in words is "ten billion, ten million", and thus it is an aban number and an uban number.