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41301300200 = 2352972128933
BaseRepresentation
bin100110011101101111…
…111101001111101000
310221121100200102210012
4212131233331033220
51134041113101300
630550142111052
72661325154636
oct463557751750
9127540612705
1041301300200
1116574564156
12800787b488
133b82854294
141ddb34a356
15111ad82435
hex99dbfd3e8

41301300200 has 48 divisors (see below), whose sum is σ = 97015522380. Its totient is φ = 16350197760.

The previous prime is 41301300197. The next prime is 41301300203. The reversal of 41301300200 is 200310314.

It is an interprime number because it is at equal distance from previous prime (41301300197) and next prime (41301300203).

It can be written as a sum of positive squares in 6 ways, for example, as 27607151716 + 13694148484 = 166154^2 + 117022^2 .

It is not an unprimeable number, because it can be changed into a prime (41301300203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045067 + ... + 1083866.

Almost surely, 241301300200 is an apocalyptic number.

41301300200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41301300200 is an abundant number, since it is smaller than the sum of its proper divisors (55714222180).

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

41301300200 is a wasteful number, since it uses less digits than its factorization.

41301300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129046 (or 2129037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 41301300200 its reverse (200310314), we get a palindrome (41501610514).

The spelling of 41301300200 in words is "forty-one billion, three hundred one million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 2128933 4257866 8515732 10644665 17031464 21289330 42578660 53223325 85157320 106446650 206506501 212893300 413013002 425786600 826026004 1032532505 1652052008 2065065010 4130130020 5162662525 8260260040 10325325050 20650650100 41301300200