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130144200 = 23352316997
BaseRepresentation
bin1111100000111…
…01011111001000
3100001220000021120
413300131133020
5231304103300
620525235240
73140131104
oct760353710
9301800246
10130144200
116751029a
1237702b20
1320c69304
14133da904
15b65b3a0
hex7c1d7c8

130144200 has 96 divisors (see below), whose sum is σ = 416520960. Its totient is φ = 33580800.

The previous prime is 130144193. The next prime is 130144211. The reversal of 130144200 is 2441031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130144200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15102 + ... + 22098.

It is an arithmetic number, because the mean of its divisors is an integer number (4338760).

Almost surely, 2130144200 is an apocalyptic number.

130144200 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 130144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208260480).

130144200 is an abundant number, since it is smaller than the sum of its proper divisors (286376760).

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

130144200 is a wasteful number, since it uses less digits than its factorization.

130144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130144200 is about 11408.0760867028. The cubic root of 130144200 is about 506.7669372955.

Adding to 130144200 its reverse (2441031), we get a palindrome (132585231).

The spelling of 130144200 in words is "one hundred thirty million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 6997 9300 13994 18600 20991 27988 34985 41982 55976 69970 83964 104955 139940 167928 174925 209910 216907 279880 349850 419820 433814 524775 650721 699700 839640 867628 1049550 1084535 1301442 1399400 1735256 2099100 2169070 2602884 3253605 4198200 4338140 5205768 5422675 6507210 8676280 10845350 13014420 16268025 21690700 26028840 32536050 43381400 65072100 130144200