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130301500 = 2253759631
BaseRepresentation
bin1111100010000…
…11111000111100
3100002012000001111
413301003320330
5231324122000
620532451404
73141354520
oct761037074
9302160044
10130301500
116760849a
1237779b64
1320cc2aa4
141343bd80
15b68ccba
hex7c43e3c

130301500 has 96 divisors (see below), whose sum is σ = 331269120. Its totient is φ = 43848000.

The previous prime is 130301491. The next prime is 130301503. The reversal of 130301500 is 5103031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206185 + ... + 206815.

It is an arithmetic number, because the mean of its divisors is an integer number (3450720).

Almost surely, 2130301500 is an apocalyptic number.

130301500 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 130301500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165634560).

130301500 is an abundant number, since it is smaller than the sum of its proper divisors (200967620).

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

130301500 is a wasteful number, since it uses less digits than its factorization.

130301500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 130301500 is about 11414.9682434950. The cubic root of 130301500 is about 506.9710246205.

Adding to 130301500 its reverse (5103031), we get a palindrome (135404531).

The spelling of 130301500 in words is "one hundred thirty million, three hundred one thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 125 140 175 236 250 295 350 413 500 590 631 700 826 875 1180 1262 1475 1652 1750 2065 2524 2950 3155 3500 4130 4417 5900 6310 7375 8260 8834 10325 12620 14750 15775 17668 20650 22085 29500 31550 37229 41300 44170 51625 63100 74458 78875 88340 103250 110425 148916 157750 186145 206500 220850 260603 315500 372290 441700 521206 552125 744580 930725 1042412 1104250 1303015 1861450 2208500 2606030 3722900 4653625 5212060 6515075 9307250 13030150 18614500 26060300 32575375 65150750 130301500