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2300324130 = 2335134315241
BaseRepresentation
bin1000100100011100…
…0010100100100010
312221022110120111000
42021013002210202
514202340333010
61020131532430
7111001301226
oct21107024442
95838416430
102300324130
11a80522625
1254245a116
132a8759850
1417b714786
15d6e377c0
hex891c2922

2300324130 has 128 divisors (see below), whose sum is σ = 6760131840. Its totient is φ = 553029120.

The previous prime is 2300324123. The next prime is 2300324183. The reversal of 2300324130 is 314230032.

It is a super-2 number, since 2×23003241302 = 10582982206120513800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143310 + ... + 158550.

It is an arithmetic number, because the mean of its divisors is an integer number (52813530).

Almost surely, 22300324130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300324130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380065920).

2300324130 is an abundant number, since it is smaller than the sum of its proper divisors (4459807710).

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

2300324130 is a wasteful number, since it uses less digits than its factorization.

2300324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15313 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2300324130 is about 47961.6944029295. The cubic root of 2300324130 is about 1320.0681266491.

Adding to 2300324130 its reverse (314230032), we get a palindrome (2614554162).

The spelling of 2300324130 in words is "two billion, three hundred million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 15241 16770 25155 30186 30482 45723 50310 75465 76205 91446 137169 150930 152410 198133 228615 274338 396266 411507 457230 594399 655363 685845 823014 990665 1188798 1310726 1371690 1783197 1966089 1981330 2057535 2971995 3276815 3566394 3932178 4115070 5349591 5898267 5943990 6553630 8519719 8915985 9830445 10699182 11796534 17039438 17694801 17831970 19660890 25559157 26747955 29491335 35389602 42598595 51118314 53495910 58982670 76677471 85197190 88474005 127795785 153354942 176948010 230032413 255591570 383387355 460064826 766774710 1150162065 2300324130