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2300300010 = 2325291635407
BaseRepresentation
bin1000100100011011…
…1100101011101010
312221022102100101200
42021012330223222
514202334100020
61020131225030
7111001141011
oct21106745352
95838370350
102300300010
11a80506498
12542448176
132a874b888
1417b709a78
15d6e30590
hex891bcaea

2300300010 has 96 divisors (see below), whose sum is σ = 6226122240. Its totient is φ = 588518784.

The previous prime is 2300300003. The next prime is 2300300033. The reversal of 2300300010 is 100030032.

It is a happy number.

2300300010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2300299965 and 2300300001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422727 + ... + 428133.

It is an arithmetic number, because the mean of its divisors is an integer number (64855440).

Almost surely, 22300300010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113061120).

2300300010 is an abundant number, since it is smaller than the sum of its proper divisors (3925822230).

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

2300300010 is a wasteful number, since it uses less digits than its factorization.

2300300010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2300300010 is about 47961.4429516044. The cubic root of 2300300010 is about 1320.0635127842.

Adding to 2300300010 its reverse (100030032), we get a palindrome (2400330042).

The spelling of 2300300010 in words is "two billion, three hundred million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 163 174 261 290 326 435 489 522 815 870 978 1305 1467 1630 2445 2610 2934 4727 4890 5407 7335 9454 10814 14181 14670 16221 23635 27035 28362 32442 42543 47270 48663 54070 70905 81105 85086 97326 141810 156803 162210 212715 243315 313606 425430 470409 486630 784015 881341 940818 1411227 1568030 1762682 2352045 2644023 2822454 4406705 4704090 5288046 7056135 7932069 8813410 13220115 14112270 15864138 25558889 26440230 39660345 51117778 76676667 79320690 127794445 153353334 230030001 255588890 383383335 460060002 766766670 1150150005 2300300010