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13311300330 = 2325532790629
BaseRepresentation
bin11000110010110101…
…00101001011101010
31021100200120010020100
430121122211023222
5204230143102310
610040511210230
7650603120526
oct143132451352
937320503210
1013311300330
115710977a59
1226b5b16976
131341a28193
14903c40d86
1552d943ec0
hex3196a52ea

13311300330 has 48 divisors (see below), whose sum is σ = 35262400680. Its totient is φ = 3482703744.

The previous prime is 13311300293. The next prime is 13311300341. The reversal of 13311300330 is 3300311331.

13311300330 is a `hidden beast` number, since 1 + 3 + 31 + 1 + 300 + 330 = 666.

13311300330 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 4 ways, for example, as 11841574761 + 1469725569 = 108819^2 + 38337^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 1390545 + ... + 1400084.

Almost surely, 213311300330 is an apocalyptic number.

13311300330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13311300330 is an abundant number, since it is smaller than the sum of its proper divisors (21951100350).

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

13311300330 is a wasteful number, since it uses less digits than its factorization.

13311300330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790695 (or 2790692 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13311300330 its reverse (3300311331), we get a palindrome (16611611661).

The spelling of 13311300330 in words is "thirteen billion, three hundred eleven million, three hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 2790629 5581258 8371887 13953145 16743774 25115661 27906290 41859435 50231322 83718870 125578305 147903337 251156610 295806674 443710011 739516685 887420022 1331130033 1479033370 2218550055 2662260066 4437100110 6655650165 13311300330