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2301310020 = 2235192181587
BaseRepresentation
bin1000100100101011…
…0011010001000100
312221101022122212110
42021022303101010
514203113410040
61020205021020
7111012545442
oct21112632104
95841278773
102301310020
11a81036309
12542854770
132a8a13509
1417b8cdb92
15d707e980
hex892b3444

2301310020 has 144 divisors (see below), whose sum is σ = 6849880128. Its totient is φ = 577186560.

The previous prime is 2301310019. The next prime is 2301310027. The reversal of 2301310020 is 200131032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2301309978 and 2301310005.

It is not an unprimeable number, because it can be changed into a prime (2301310027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3920167 + ... + 3920753.

It is an arithmetic number, because the mean of its divisors is an integer number (47568612).

Almost surely, 22301310020 is an apocalyptic number.

2301310020 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 2301310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424940064).

2301310020 is an abundant number, since it is smaller than the sum of its proper divisors (4548570108).

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

2301310020 is a wasteful number, since it uses less digits than its factorization.

2301310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2301310020 is about 47971.9711915197. The cubic root of 2301310020 is about 1320.2566879140.

Adding to 2301310020 its reverse (200131032), we get a palindrome (2501441052).

It can be divided in two parts, 23013 and 10020, that added together give a palindrome (33033).

The spelling of 2301310020 in words is "two billion, three hundred one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 181 190 228 285 361 362 380 543 570 587 722 724 905 1083 1086 1140 1174 1444 1761 1805 1810 2166 2172 2348 2715 2935 3439 3522 3610 3620 4332 5415 5430 5870 6878 7044 7220 8805 10317 10830 10860 11153 11740 13756 17195 17610 20634 21660 22306 33459 34390 35220 41268 44612 51585 55765 65341 66918 68780 103170 106247 111530 130682 133836 167295 196023 206340 211907 212494 223060 261364 318741 326705 334590 392046 423814 424988 531235 635721 637482 653410 669180 784092 847628 980115 1059535 1062470 1271442 1274964 1306820 1593705 1960230 2018693 2119070 2124940 2542884 3178605 3187410 3920460 4037386 4238140 6056079 6357210 6374820 8074772 10093465 12112158 12714420 20186930 24224316 30280395 38355167 40373860 60560790 76710334 115065501 121121580 153420668 191775835 230131002 383551670 460262004 575327505 767103340 1150655010 2301310020