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10313003300 = 2252412924977
BaseRepresentation
bin10011001101011001…
…11111000100100100
3222121201201211221012
421212230333010210
5132110112101200
64423203241352
7513365040005
oct114654770444
928551654835
1010313003300
114412470026
121bb9979258
13c847bbb22
146db95d1ac
154055d9a35
hex266b3f124

10313003300 has 36 divisors (see below), whose sum is σ = 22385533380. Its totient is φ = 4124037120.

The previous prime is 10313003297. The next prime is 10313003329. The reversal of 10313003300 is 330031301.

10313003300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1877315584 + 8435687716 = 43328^2 + 91846^2 .

It is an unprimeable number.

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, 400412 + ... + 425388.

Almost surely, 210313003300 is an apocalyptic number.

10313003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313003300 is an abundant number, since it is smaller than the sum of its proper divisors (12072530080).

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

10313003300 is a wasteful number, since it uses less digits than its factorization.

10313003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29120 (or 29113 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 10313003300 its reverse (330031301), we get a palindrome (10643034601).

The spelling of 10313003300 in words is "ten billion, three hundred thirteen million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4129 8258 16516 20645 24977 41290 49954 82580 99908 103225 124885 206450 249770 412900 499540 624425 1248850 2497700 103130033 206260066 412520132 515650165 1031300330 2062600660 2578250825 5156501650 10313003300