Search a number
-
+
2100232314 = 23412964397
BaseRepresentation
bin111110100101111…
…0000000001111010
312102100221212010000
41331023300001322
513300124413224
6544223133430
7103021452165
oct17513600172
95370855100
102100232314
11988587694
124a7444276
1327616c81b
1415cd0aadc
15c45b10c9
hex7d2f007a

2100232314 has 20 divisors (see below), whose sum is σ = 4706076474. Its totient is φ = 700077384.

The previous prime is 2100232313. The next prime is 2100232333. The reversal of 2100232314 is 4132320012.

It can be written as a sum of positive squares in only one way, i.e., 2069795025 + 30437289 = 45495^2 + 5517^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100232313) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6482037 + ... + 6482360.

Almost surely, 22100232314 is an apocalyptic number.

2100232314 is an abundant number, since it is smaller than the sum of its proper divisors (2605844160).

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

2100232314 is a wasteful number, since it uses less digits than its factorization.

2100232314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12964411 (or 12964402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2100232314 is about 45828.2916330077. The cubic root of 2100232314 is about 1280.6263849079.

Adding to 2100232314 its reverse (4132320012), we get a palindrome (6232552326).

The spelling of 2100232314 in words is "two billion, one hundred million, two hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 12964397 25928794 38893191 77786382 116679573 233359146 350038719 700077438 1050116157 2100232314