Search a number
-
+
10001000000 = 265673137
BaseRepresentation
bin10010101000001101…
…10010011001000000
3221210222122102212102
421110012302121000
5130440224000000
64332220045532
7502556045255
oct112406623100
927728572772
1010001000000
114272338362
121b313938a8
13c34c7a6a4
146ac34342c
153d80093d5
hex2541b2640

10001000000 has 196 divisors, whose sum is σ = 25330222644. Its totient is φ = 3916800000.

The previous prime is 10000999997. The next prime is 10001000011. The reversal of 10001000000 is 10001.

It can be written as a sum of positive squares in 14 ways, for example, as 8839008256 + 1161991744 = 94016^2 + 34088^2 .

It is a sliding number, since 10001000000 = 1000000 + 10000000000 and 1/1000000 + 1/10000000000 = 0.0000010001000000.

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 27 ways as a sum of consecutive naturals, for example, 72999932 + ... + 73000068.

Almost surely, 210001000000 is an apocalyptic number.

10001000000 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 10001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665111322).

10001000000 is an abundant number, since it is smaller than the sum of its proper divisors (15329222644).

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

10001000000 is an frugal number, since it uses more digits than its factorization.

10001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

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

Adding to 10001000000 its reverse (10001), we get a palindrome (10001010001).

Multiplying 10001000000 by its reverse (10001), we get a square (100020001000000 = 100010002).

10001000000 divided by its reverse (10001) gives a 6-th power (1000000 = 106).

The spelling of 10001000000 in words is "ten billion, one million", and thus it is an aban number and an uban number.