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2301120330 = 235239734381
BaseRepresentation
bin1000100100101000…
…0100111101001010
312221100222000122220
42021022010331022
514203041322310
61020200554510
7111011125425
oct21112047512
95840860586
102301120330
11a80a16843
12542782a36
132a8978082
1417b8809bc
15d7043670
hex89284f4a

2301120330 has 64 divisors (see below), whose sum is σ = 5822385408. Its totient is φ = 580884480.

The previous prime is 2301120319. The next prime is 2301120331. The reversal of 2301120330 is 330211032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2301120331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49740 + ... + 84120.

It is an arithmetic number, because the mean of its divisors is an integer number (90974772).

Almost surely, 22301120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911192704).

2301120330 is an abundant number, since it is smaller than the sum of its proper divisors (3521265078).

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

2301120330 is a wasteful number, since it uses less digits than its factorization.

2301120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34511.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2301120330 is about 47969.9940587864. The cubic root of 2301120330 is about 1320.2204120001.

Adding to 2301120330 its reverse (330211032), we get a palindrome (2631331362).

The spelling of 2301120330 in words is "two billion, three hundred one million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 97 115 138 194 230 291 345 485 582 690 970 1455 2231 2910 4462 6693 11155 13386 22310 33465 34381 66930 68762 103143 171905 206286 343810 515715 790763 1031430 1581526 2372289 3334957 3953815 4744578 6669914 7907630 10004871 11861445 16674785 20009742 23722890 33349570 50024355 76704011 100048710 153408022 230112033 383520055 460224066 767040110 1150560165 2301120330