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1321322232330 = 232523638319919
BaseRepresentation
bin10011001110100100111…
…100010011101000001010
311200022120012220002020200
4103032210330103220022
5133122031442413310
62451001305033030
7164314411443132
oct23164474235012
94608505802220
101321322232330
1146a407a53a01
121940b8185776
13977a56c2569
1447d492dbac2
1524585cc39c0
hex133a4f13a0a

1321322232330 has 48 divisors (see below), whose sum is σ = 3584804670720. Its totient is φ = 337032916704.

The previous prime is 1321322232289. The next prime is 1321322232331. The reversal of 1321322232330 is 332322231231.

1321322232330 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 322 + 2 + 3 + 2 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1321322232294 and 1321322232303.

It is not an unprimeable number, because it can be changed into a prime (1321322232331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319157890 + ... + 319162029.

It is an arithmetic number, because the mean of its divisors is an integer number (74683430640).

Almost surely, 21321322232330 is an apocalyptic number.

1321322232330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321322232330 is an abundant number, since it is smaller than the sum of its proper divisors (2263482438390).

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

1321322232330 is a wasteful number, since it uses less digits than its factorization.

1321322232330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638319955 (or 638319952 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1321322232330 its reverse (332322231231), we get a palindrome (1653644463561).

The spelling of 1321322232330 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-two million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 638319919 1276639838 1914959757 3191599595 3829919514 5744879271 6383199190 9574798785 11489758542 14681358137 19149597570 28724396355 29362716274 44044074411 57448792710 73406790685 88088148822 132132223233 146813581370 220220372055 264264446466 440440744110 660661116165 1321322232330