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2300011441 = 72133610693
BaseRepresentation
bin1000100100010111…
…0110001110110001
312221021212200112221
42021011312032301
514202300331231
61020121121041
7110665526500
oct21105661661
95837780487
102300011441
11a80329702
12542329181
132a867a420
1417b672837
15d6dc4d11
hex891763b1

2300011441 has 12 divisors (see below), whose sum is σ = 2881333812. Its totient is φ = 1819788768.

The previous prime is 2300011421. The next prime is 2300011457. The reversal of 2300011441 is 1441100032.

It can be written as a sum of positive squares in 2 ways, for example, as 399400225 + 1900611216 = 19985^2 + 43596^2 .

It is not a de Polignac number, because 2300011441 - 29 = 2300010929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2300011421) 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, 1804710 + ... + 1805983.

It is an arithmetic number, because the mean of its divisors is an integer number (240111151).

Almost surely, 22300011441 is an apocalyptic number.

It is an amenable number.

2300011441 is a deficient number, since it is larger than the sum of its proper divisors (581322371).

2300011441 is a wasteful number, since it uses less digits than its factorization.

2300011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610720 (or 3610713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2300011441 is about 47958.4345136494. The cubic root of 2300011441 is about 1320.0083105155.

Adding to 2300011441 its reverse (1441100032), we get a palindrome (3741111473).

The spelling of 2300011441 in words is "two billion, three hundred million, eleven thousand, four hundred forty-one".

Divisors: 1 7 13 49 91 637 3610693 25274851 46939009 176923957 328573063 2300011441