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2301320120 = 2351116731319
BaseRepresentation
bin1000100100101011…
…0101101110111000
312221101100011201112
42021022311232320
514203114220440
61020205135452
7111012620051
oct21112655670
95841304645
102301320120
11a81042960
1254285a588
132a8a17ca8
1417b8d3728
15d7082965
hex892b5bb8

2301320120 has 64 divisors (see below), whose sum is σ = 5682700800. Its totient is φ = 831806080.

The previous prime is 2301320111. The next prime is 2301320129. The reversal of 2301320120 is 210231032.

It is a happy number.

2301320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2301320111) and next prime (2301320129).

It is a junction number, because it is equal to n+sod(n) for n = 2301320095 and 2301320104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301320129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57821 + ... + 89139.

It is an arithmetic number, because the mean of its divisors is an integer number (88792200).

Almost surely, 22301320120 is an apocalyptic number.

2301320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841350400).

2301320120 is an abundant number, since it is smaller than the sum of its proper divisors (3381380680).

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

2301320120 is a wasteful number, since it uses less digits than its factorization.

2301320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31508 (or 31504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2301320120 is about 47972.0764612081. The cubic root of 2301320120 is about 1320.2586193607.

Adding to 2301320120 its reverse (210231032), we get a palindrome (2511551152).

The spelling of 2301320120 in words is "two billion, three hundred one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1670 1837 3340 3674 6680 7348 9185 14696 18370 31319 36740 62638 73480 125276 156595 250552 313190 344509 626380 689018 1252760 1378036 1722545 2756072 3445090 5230273 6890180 10460546 13780360 20921092 26151365 41842184 52302730 57533003 104605460 115066006 209210920 230132012 287665015 460264024 575330030 1150660060 2301320120