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13331120322 = 2313439114363
BaseRepresentation
bin11000110101001100…
…01100000011000010
31021102001212002011010
430122212030003002
5204300231322242
610042500101350
7651233440002
oct143246140302
937361762133
1013331120322
115721085013
122700694856
131345b776a0
14906720002
1553055b89c
hex31a98c0c2

13331120322 has 64 divisors (see below), whose sum is σ = 29419923456. Its totient is φ = 4001175360.

The previous prime is 13331120311. The next prime is 13331120329. The reversal of 13331120322 is 22302113331.

It is not an unprimeable number, because it can be changed into a prime (13331120329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3053313 + ... + 3057675.

It is an arithmetic number, because the mean of its divisors is an integer number (459686304).

Almost surely, 213331120322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331120322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14709961728).

13331120322 is an abundant number, since it is smaller than the sum of its proper divisors (16088803134).

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

13331120322 is a wasteful number, since it uses less digits than its factorization.

13331120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13331120322 its reverse (22302113331), we get a palindrome (35633233653).

The spelling of 13331120322 in words is "thirteen billion, three hundred thirty-one million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 911 1118 1677 1822 2733 3354 4363 5466 8726 11843 13089 23686 26178 35529 39173 56719 71058 78346 113438 117519 170157 187609 235038 340314 375218 509249 562827 1018498 1125654 1527747 2438917 3055494 3974693 4877834 7316751 7949386 11924079 14633502 23848158 51671009 103342018 155013027 170911799 310026054 341823598 512735397 1025470794 2221853387 4443706774 6665560161 13331120322