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1300220200 = 235217936319
BaseRepresentation
bin100110101111111…
…1100100100101000
310100121121000210201
41031133330210220
510130324021300
6333004121544
744135455306
oct11537744450
93317530721
101300220200
11607a38754
123035362b4
131794b4286
14c497b276
157923566a
hex4d7fc928

1300220200 has 48 divisors (see below), whose sum is σ = 3039984000. Its totient is φ = 517168320.

The previous prime is 1300220177. The next prime is 1300220203. The reversal of 1300220200 is 20220031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1300220203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17641 + ... + 53959.

It is an arithmetic number, because the mean of its divisors is an integer number (63333000).

Almost surely, 21300220200 is an apocalyptic number.

1300220200 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 1300220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519992000).

1300220200 is an abundant number, since it is smaller than the sum of its proper divisors (1739763800).

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

1300220200 is a wasteful number, since it uses less digits than its factorization.

1300220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36514 (or 36505 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1300220200 is about 36058.5662499218. The cubic root of 1300220200 is about 1091.4545013034.

Adding to 1300220200 its reverse (20220031), we get a palindrome (1320440231).

The spelling of 1300220200 in words is "one billion, three hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1790 3580 4475 7160 8950 17900 35800 36319 72638 145276 181595 290552 363190 726380 907975 1452760 1815950 3631900 6501101 7263800 13002202 26004404 32505505 52008808 65011010 130022020 162527525 260044040 325055050 650110100 1300220200