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13313130100 = 2252177831253
BaseRepresentation
bin11000110011000011…
…00011111001110100
31021100211000002012121
430121201203321310
5204231130130400
610041014325324
7650624511244
oct143141437164
937324002177
1013313130100
115711a07766
1226b6659844
131342218c9a
14904199b24
1552dba621a
hex319863e74

13313130100 has 36 divisors (see below), whose sum is σ = 30588878124. Its totient is φ = 5012001280.

The previous prime is 13313130091. The next prime is 13313130119. The reversal of 13313130100 is 103131331.

13313130100 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 223024356 + 13090105744 = 14934^2 + 114412^2 .

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 11 ways as a sum of consecutive naturals, for example, 3913927 + ... + 3917326.

It is an arithmetic number, because the mean of its divisors is an integer number (849691059).

Almost surely, 213313130100 is an apocalyptic number.

13313130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313130100 is an abundant number, since it is smaller than the sum of its proper divisors (17275748024).

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

13313130100 is a wasteful number, since it uses less digits than its factorization.

13313130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831284 (or 7831277 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13313130100 its reverse (103131331), we get a palindrome (13416261431).

The spelling of 13313130100 in words is "thirteen billion, three hundred thirteen million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7831253 15662506 31325012 39156265 78312530 133131301 156625060 195781325 266262602 391562650 532525204 665656505 783125300 1331313010 2662626020 3328282525 6656565050 13313130100