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130310000 = 245483157
BaseRepresentation
bin1111100010001…
…01111101110000
3100002012102201022
413301011331300
5231324410000
620532555012
73141421352
oct761057560
9302172638
10130310000
1167613917
1237782a68
1320cc6912
14134410d2
15b690585
hex7c45f70

130310000 has 100 divisors (see below), whose sum is σ = 321328392. Its totient is φ = 51168000.

The previous prime is 130309997. The next prime is 130310003. The reversal of 130310000 is 13031.

It is an interprime number because it is at equal distance from previous prime (130309997) and next prime (130310003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1303100002 = 33961392200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 130310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130310003) 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, 829922 + ... + 830078.

Almost surely, 2130310000 is an apocalyptic number.

130310000 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 130310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160664196).

130310000 is an abundant number, since it is smaller than the sum of its proper divisors (191018392).

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

130310000 is an equidigital number, since it uses as much as digits as its factorization.

130310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 130310000 is about 11415.3405555857. The cubic root of 130310000 is about 506.9820481826.

Adding to 130310000 its reverse (13031), we get a palindrome (130323031).

Multiplying 130310000 by its reverse (13031), we get a square (1698069610000 = 13031002).

130310000 divided by its reverse (13031) gives a 4-th power (10000 = 104).

The spelling of 130310000 in words is "one hundred thirty million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 157 166 200 250 314 332 400 415 500 625 628 664 785 830 1000 1250 1256 1328 1570 1660 2000 2075 2500 2512 3140 3320 3925 4150 5000 6280 6640 7850 8300 10000 10375 12560 13031 15700 16600 19625 20750 26062 31400 33200 39250 41500 51875 52124 62800 65155 78500 83000 98125 103750 104248 130310 157000 166000 196250 207500 208496 260620 314000 325775 392500 415000 521240 651550 785000 830000 1042480 1303100 1570000 1628875 2606200 3257750 5212400 6515500 8144375 13031000 16288750 26062000 32577500 65155000 130310000