Search a number
-
+
288051101 = 1331223057
BaseRepresentation
bin10001001010110…
…100111110011101
3202002000111211022
4101022310332131
51042220113401
644325533525
710065252062
oct2112647635
9662014738
10288051101
11138663068
12805742a5
13478a6150
142a382c69
151a44d71b
hex112b4f9d

288051101 has 12 divisors (see below), whose sum is σ = 320552316. Its totient is φ = 257304960.

The previous prime is 288051067. The next prime is 288051151. The reversal of 288051101 is 101150882.

It can be written as a sum of positive squares in 2 ways, for example, as 170328601 + 117722500 = 13051^2 + 10850^2 .

It is not a de Polignac number, because 288051101 - 218 = 287788957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288051151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965 + ... + 24021.

It is an arithmetic number, because the mean of its divisors is an integer number (26712693).

Almost surely, 2288051101 is an apocalyptic number.

It is an amenable number.

288051101 is a deficient number, since it is larger than the sum of its proper divisors (32501215).

288051101 is a wasteful number, since it uses less digits than its factorization.

288051101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23132 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 26.

The square root of 288051101 is about 16972.0682593489. The cubic root of 288051101 is about 660.4245057525.

The spelling of 288051101 in words is "two hundred eighty-eight million, fifty-one thousand, one hundred one".

Divisors: 1 13 31 403 961 12493 23057 299741 714767 9291971 22157777 288051101