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2300020110 = 234519199751
BaseRepresentation
bin1000100100010111…
…1000010110001110
312221021220010110000
42021011320112032
514202301120420
61020121225130
7110665563663
oct21105702616
95837803400
102300020110
11a80335173
125423321a6
132a868135b
1417b675a6a
15d6dc7690
hex8917858e

2300020110 has 160 divisors (see below), whose sum is σ = 6551424000. Its totient is φ = 577368000.

The previous prime is 2300020109. The next prime is 2300020127. The reversal of 2300020110 is 110200032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2300020092 and 2300020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3062235 + ... + 3062985.

It is an arithmetic number, because the mean of its divisors is an integer number (40946400).

Almost surely, 22300020110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275712000).

2300020110 is an abundant number, since it is smaller than the sum of its proper divisors (4251403890).

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

2300020110 is a wasteful number, since it uses less digits than its factorization.

2300020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2300020110 is about 47958.5248939122. The cubic root of 2300020110 is about 1320.0099689330.

Adding to 2300020110 its reverse (110200032), we get a palindrome (2410220142).

The spelling of 2300020110 in words is "two billion, three hundred million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 199 270 285 342 398 405 513 570 597 751 810 855 995 1026 1194 1502 1539 1710 1791 1990 2253 2565 2985 3078 3582 3755 3781 4506 5130 5373 5970 6759 7510 7562 7695 8955 10746 11265 11343 13518 14269 15390 16119 17910 18905 20277 22530 22686 26865 28538 32238 33795 34029 37810 40554 42807 53730 56715 60831 67590 68058 71345 80595 85614 101385 102087 113430 121662 128421 142690 149449 161190 170145 202770 204174 214035 256842 298898 304155 306261 340290 385263 428070 448347 510435 608310 612522 642105 747245 770526 896694 1020870 1155789 1284210 1345041 1494490 1531305 1926315 2241735 2311578 2690082 2839531 3062610 3852630 4035123 4483470 5679062 5778945 6725205 8070246 8518593 11557890 12105369 13450410 14197655 17037186 20175615 24210738 25555779 28395310 40351230 42592965 51111558 60526845 76667337 85185930 121053690 127778895 153334674 230002011 255557790 383336685 460004022 766673370 1150010055 2300020110