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130315000 = 235467389
BaseRepresentation
bin1111100010001…
…11001011111000
3100002012200120111
413301013023320
5231330040000
620533034104
73141442054
oct761071370
9302180514
10130315000
1167617652
1237785934
1320cc8c8a
1413442c64
15b691cba
hex7c472f8

130315000 has 80 divisors (see below), whose sum is σ = 310681800. Its totient is φ = 51216000.

The previous prime is 130314967. The next prime is 130315007. The reversal of 130315000 is 513031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130315007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 334806 + ... + 335194.

Almost surely, 2130315000 is an apocalyptic number.

130315000 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 130315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155340900).

130315000 is an abundant number, since it is smaller than the sum of its proper divisors (180366800).

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

130315000 is an equidigital number, since it uses as much as digits as its factorization.

130315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

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

The square root of 130315000 is about 11415.5595570257. The cubic root of 130315000 is about 506.9885324069.

Adding to 130315000 its reverse (513031), we get a palindrome (130828031).

The spelling of 130315000 in words is "one hundred thirty million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 389 500 536 625 670 778 1000 1250 1340 1556 1675 1945 2500 2680 3112 3350 3890 5000 6700 7780 8375 9725 13400 15560 16750 19450 26063 33500 38900 41875 48625 52126 67000 77800 83750 97250 104252 130315 167500 194500 208504 243125 260630 335000 389000 486250 521260 651575 972500 1042520 1303150 1945000 2606300 3257875 5212600 6515750 13031500 16289375 26063000 32578750 65157500 130315000