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130132200 = 233521119717
BaseRepresentation
bin1111100000110…
…10100011101000
3100001212101211010
413300122203220
5231303212300
620525103520
73140051112
oct760324350
9301771733
10130132200
1167502280
12376b7ba0
1320c63a03
14133d63b2
15b657a50
hex7c1a8e8

130132200 has 96 divisors (see below), whose sum is σ = 440105760. Its totient is φ = 31545600.

The previous prime is 130132199. The next prime is 130132243. The reversal of 130132200 is 2231031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3259 + ... + 16458.

It is an arithmetic number, because the mean of its divisors is an integer number (4584435).

Almost surely, 2130132200 is an apocalyptic number.

130132200 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 130132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220052880).

130132200 is an abundant number, since it is smaller than the sum of its proper divisors (309973560).

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

130132200 is a wasteful number, since it uses less digits than its factorization.

130132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19747 (or 19738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130132200 is about 11407.5501313823. The cubic root of 130132200 is about 506.7513612648.

Adding to 130132200 its reverse (2231031), we get a palindrome (132363231).

The spelling of 130132200 in words is "one hundred thirty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 19717 39434 59151 78868 98585 118302 157736 197170 216887 236604 295755 394340 433774 473208 492925 591510 650661 788680 867548 985850 1084435 1183020 1301322 1478775 1735096 1971700 2168870 2366040 2602644 2957550 3253305 3943400 4337740 5205288 5422175 5915100 6506610 8675480 10844350 11830200 13013220 16266525 21688700 26026440 32533050 43377400 65066100 130132200