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10300313200 = 245247547889
BaseRepresentation
bin10011001011111001…
…00100111001110000
3222120211212010101111
421211330210321300
5132043340010300
64422031243104
7513152134432
oct114574447160
928524763344
1010300313200
114406292841
121bb5679494
13c81c979a8
146d9db8652
1540442e9ba
hex265f24e70

10300313200 has 60 divisors (see below), whose sum is σ = 25273069920. Its totient is φ = 4032455680.

The previous prime is 10300313147. The next prime is 10300313203. The reversal of 10300313200 is 231300301.

10300313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300313203) 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, 255145 + ... + 292744.

It is an arithmetic number, because the mean of its divisors is an integer number (421217832).

Almost surely, 210300313200 is an apocalyptic number.

10300313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300313200 is an abundant number, since it is smaller than the sum of its proper divisors (14972756720).

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

10300313200 is a wasteful number, since it uses less digits than its factorization.

10300313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547954 (or 547943 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10300313200 its reverse (231300301), we get a palindrome (10531613501).

The spelling of 10300313200 in words is "ten billion, three hundred million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2350 3760 4700 9400 18800 547889 1095778 2191556 2739445 4383112 5478890 8766224 10957780 13697225 21915560 25750783 27394450 43831120 51501566 54788900 103003132 109577800 128753915 206006264 219155600 257507830 412012528 515015660 643769575 1030031320 1287539150 2060062640 2575078300 5150156600 10300313200