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1000210130000 = 24541720172917
BaseRepresentation
bin11101000111000010010…
…10110110010001010000
310112121201100211010122122
432203201022312101100
5112341412243130000
62043253514153412
7132156065553644
oct16434112662120
93477640733578
101000210130000
113562065a7754
12141a20422868
137341c98b913
14365a6304c24
151b03ee22085
hexe8e12b6450

1000210130000 has 200 divisors, whose sum is σ = 2566206982152. Its totient is φ = 376233984000.

The previous prime is 1000210129909. The next prime is 1000210130033. The reversal of 1000210130000 is 310120001.

It can be written as a sum of positive squares in 20 ways, for example, as 463782792256 + 536427337744 = 681016^2 + 732412^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1000210130000.

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 39 ways as a sum of consecutive naturals, for example, 342888542 + ... + 342891458.

Almost surely, 21000210130000 is an apocalyptic number.

1000210130000 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 1000210130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283103491076).

1000210130000 is an abundant number, since it is smaller than the sum of its proper divisors (1565996852152).

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

1000210130000 is a wasteful number, since it uses less digits than its factorization.

1000210130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1000210130000 its reverse (310120001), we get a palindrome (1000520250001).

Subtracting from 1000210130000 its reverse (310120001), we obtain a palindrome (999900009999).

The spelling of 1000210130000 in words is "one trillion, two hundred ten million, one hundred thirty thousand".