Search a number
-
+
814205115100 = 2252132812228867
BaseRepresentation
bin10111101100100100110…
…10000001101011011100
32212211121100120100120201
423312102122001223130
5101314443002140400
61422012441153244
7112552522200526
oct13662232015334
92784540510521
10814205115100
11294336619a43
1211196b78b824
135ba18c13b20
142b59cb92a16
15162a544006a
hexbd92681adc

814205115100 has 72 divisors (see below), whose sum is σ = 1909506877488. Its totient is φ = 299559590400.

The previous prime is 814205115041. The next prime is 814205115103. The reversal of 814205115100 is 1511502418.

814205115100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814205115103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749134 + ... + 1479733.

It is an arithmetic number, because the mean of its divisors is an integer number (26520928854).

Almost surely, 2814205115100 is an apocalyptic number.

It is an amenable number.

814205115100 is an abundant number, since it is smaller than the sum of its proper divisors (1095301762388).

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

814205115100 is a wasteful number, since it uses less digits than its factorization.

814205115100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229175 (or 2229168 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

Adding to 814205115100 its reverse (1511502418), we get a palindrome (815716617518).

The spelling of 814205115100 in words is "eight hundred fourteen billion, two hundred five million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 281 325 562 650 1124 1300 1405 2810 3653 5620 7025 7306 14050 14612 18265 28100 36530 73060 91325 182650 365300 2228867 4457734 8915468 11144335 22288670 28975271 44577340 55721675 57950542 111443350 115901084 144876355 222886700 289752710 579505420 626311627 724381775 1252623254 1448763550 2505246508 2897527100 3131558135 6263116270 8142051151 12526232540 15657790675 16284102302 31315581350 32568204604 40710255755 62631162700 81420511510 162841023020 203551278775 407102557550 814205115100