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130203200 = 2652194283
BaseRepresentation
bin1111100001010…
…11111001000000
3100002000000012202
413300223321000
5231313000300
620530412332
73140465111
oct760537100
9302000182
10130203200
1167550656
12377310a8
1320c8a11a
1413414208
15b66dad5
hex7c2be40

130203200 has 84 divisors (see below), whose sum is σ = 337322160. Its totient is φ = 49328640.

The previous prime is 130203133. The next prime is 130203209. The reversal of 130203200 is 2302031.

It is not an unprimeable number, because it can be changed into a prime (130203209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28259 + ... + 32541.

It is an arithmetic number, because the mean of its divisors is an integer number (4015740).

Almost surely, 2130203200 is an apocalyptic number.

130203200 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 130203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168661080).

130203200 is an abundant number, since it is smaller than the sum of its proper divisors (207118960).

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

130203200 is a wasteful number, since it uses less digits than its factorization.

130203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 130203200 is about 11410.6616810770. The cubic root of 130203200 is about 506.8435055233.

Adding to 130203200 its reverse (2302031), we get a palindrome (132505231).

The spelling of 130203200 in words is "one hundred thirty million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 4283 6080 7600 8566 15200 17132 21415 30400 34264 42830 68528 81377 85660 107075 137056 162754 171320 214150 274112 325508 342640 406885 428300 651016 685280 813770 856600 1302032 1370560 1627540 1713200 2034425 2604064 3255080 3426400 4068850 5208128 6510160 6852800 8137700 13020320 16275400 26040640 32550800 65101600 130203200