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10303211310 = 235762997789
BaseRepresentation
bin10011001100001111…
…01000011100101110
3222121001022100211220
421212013220130232
5132100110230220
64422213324210
7513215564640
oct114607503456
928531270756
1010303211310
114407992177
121bb6636666
13c82770b52
146da530890
15404803540
hex2661e872e

10303211310 has 64 divisors (see below), whose sum is σ = 28268352000. Its totient is φ = 2354343552.

The previous prime is 10303211309. The next prime is 10303211389. The reversal of 10303211310 is 1311230301.

10303211310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103032113102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10303211310.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1318896 + ... + 1326684.

It is an arithmetic number, because the mean of its divisors is an integer number (441693000).

Almost surely, 210303211310 is an apocalyptic number.

10303211310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10303211310 is an abundant number, since it is smaller than the sum of its proper divisors (17965140690).

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

10303211310 is a wasteful number, since it uses less digits than its factorization.

10303211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14105.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10303211310 its reverse (1311230301), we get a palindrome (11614441611).

The spelling of 10303211310 in words is "ten billion, three hundred three million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 6299 7789 12598 15578 18897 23367 31495 37794 38945 44093 46734 54523 62990 77890 88186 94485 109046 116835 132279 163569 188970 220465 233670 264558 272615 327138 440930 545230 661395 817845 1322790 1635690 49062911 98125822 147188733 245314555 294377466 343440377 490629110 686880754 735943665 1030321131 1471887330 1717201885 2060642262 3434403770 5151605655 10303211310