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130002300 = 22335289541
BaseRepresentation
bin1111011111110…
…10110101111100
3100001121210122000
413233322311330
5231240033200
620522222300
73136000311
oct757726574
9301553560
10130002300
116742371a
1237654990
1320c1984c
14133a0d08
15b62e300
hex7bfad7c

130002300 has 144 divisors (see below), whose sum is σ = 423410400. Its totient is φ = 34214400.

The previous prime is 130002293. The next prime is 130002307. The reversal of 130002300 is 3200031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130002293) and next prime (130002307).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130002307) 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, 240030 + ... + 240570.

It is an arithmetic number, because the mean of its divisors is an integer number (2940350).

Almost surely, 2130002300 is an apocalyptic number.

130002300 is a gapful number since it is divisible by the number (10) 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 130002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211705200).

130002300 is an abundant number, since it is smaller than the sum of its proper divisors (293408100).

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

130002300 is a wasteful number, since it uses less digits than its factorization.

130002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 640 counting only the distinct ones).

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

The square root of 130002300 is about 11401.8551122175. The cubic root of 130002300 is about 506.5826894138.

Adding to 130002300 its reverse (3200031), we get a palindrome (133202331).

The spelling of 130002300 in words is "one hundred thirty million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 89 90 100 108 135 150 178 180 225 267 270 300 356 445 450 534 540 541 675 801 890 900 1068 1082 1335 1350 1602 1623 1780 2164 2225 2403 2670 2700 2705 3204 3246 4005 4450 4806 4869 5340 5410 6492 6675 8010 8115 8900 9612 9738 10820 12015 13350 13525 14607 16020 16230 19476 20025 24030 24345 26700 27050 29214 32460 40050 40575 48060 48149 48690 54100 58428 60075 73035 80100 81150 96298 97380 120150 121725 144447 146070 162300 192596 240300 240745 243450 288894 292140 365175 433341 481490 486900 577788 722235 730350 866682 962980 1203725 1300023 1444470 1460700 1733364 2166705 2407450 2600046 2888940 3611175 4333410 4814900 5200092 6500115 7222350 8666820 10833525 13000230 14444700 21667050 26000460 32500575 43334100 65001150 130002300