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1304431245533 = 132911340937481
BaseRepresentation
bin10010111110110110001…
…010010011100011011101
311121200222001112001100002
4102332312022103203131
5132332433344324113
62435125240344045
7163146010433513
oct22766612234335
94550861461302
101304431245533
1146322a482589
12190983475025
139601317a310
14471c5cb84b3
1523de7e81c58
hex12fb62938dd

1304431245533 has 32 divisors (see below), whose sum is σ = 1466627027040. Its totient is φ = 1151846277120.

The previous prime is 1304431245527. The next prime is 1304431245541. The reversal of 1304431245533 is 3355421344031.

It can be written as a sum of positive squares in 16 ways, for example, as 590848956889 + 713582288644 = 768667^2 + 844738^2 .

It is a cyclic number.

It is not a de Polignac number, because 1304431245533 - 222 = 1304427051229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304431245833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174362153 + ... + 174369633.

It is an arithmetic number, because the mean of its divisors is an integer number (45832094595).

Almost surely, 21304431245533 is an apocalyptic number.

1304431245533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1304431245533 is a deficient number, since it is larger than the sum of its proper divisors (162195781507).

1304431245533 is a wasteful number, since it uses less digits than its factorization.

1304431245533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729.

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 1304431245533 its reverse (3355421344031), we get a palindrome (4659852589564).

The spelling of 1304431245533 in words is "one trillion, three hundred four billion, four hundred thirty-one million, two hundred forty-five thousand, five hundred thirty-three".

Divisors: 1 13 29 113 377 1469 3277 4093 7481 42601 53209 97253 118697 216949 462509 845353 1543061 2820337 6012617 10989589 13412761 24515237 30619733 174365893 318698081 398056529 887972257 3460029829 11543639341 44980387777 100340865041 1304431245533