Search a number
-
+
215001020100512 = 2529231682133729
BaseRepresentation
bin110000111000101011010011…
…011011011110111110100000
31001012020220012202110220122102
4300320223103123132332200
5211140034042121204022
62041134034411225532
763200211464313242
oct6070532333367640
91035226182426572
10215001020100512
11625624698664a8
122014477a7482a8
1392c7680935919
143b14167b9a092
1519cca0b055a92
hexc38ad36defa0

215001020100512 has 24 divisors (see below), whose sum is σ = 437879232749700. Its totient is φ = 103793595910144.

The previous prime is 215001020100511. The next prime is 215001020100551.

215001020100512 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 189474233921296 + 25526786179216 = 13764964^2 + 5052404^2 .

It is not an unprimeable number, because it can be changed into a prime (215001020100511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115841065937 + ... + 115841067792.

Almost surely, 2215001020100512 is an apocalyptic number.

It is an amenable number.

215001020100512 is an abundant number, since it is smaller than the sum of its proper divisors (222878212649188).

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

215001020100512 is a wasteful number, since it uses less digits than its factorization.

215001020100512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231682133768 (or 231682133760 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 215001020100512 in words is "two hundred fifteen trillion, one billion, twenty million, one hundred thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 231682133729 463364267458 926728534916 1853457069832 3706914139664 6718781878141 7413828279328 13437563756282 26875127512564 53750255025128 107500510050256 215001020100512