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1303435144325 = 52271319217621
BaseRepresentation
bin10010111101111010110…
…010011110110010000101
311121121101122011212100202
4102331322302132302011
5132323413344104300
62434442334420245
7163112223631406
oct22757262366205
94547348155322
101303435144325
11462869181a46
12190745961685
1395bb49a6912
144712d8a39ad
1523d8a7c0ad5
hex12f7ac9ec85

1303435144325 has 12 divisors (see below), whose sum is σ = 1616855409348. Its totient is φ = 1042363708800.

The previous prime is 1303435144309. The next prime is 1303435144337. The reversal of 1303435144325 is 5234415343031.

It can be written as a sum of positive squares in 6 ways, for example, as 104747380609 + 1198687763716 = 323647^2 + 1094846^2 .

It is not a de Polignac number, because 1303435144325 - 24 = 1303435144309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9540986 + ... + 9676635.

It is an arithmetic number, because the mean of its divisors is an integer number (134737950779).

Almost surely, 21303435144325 is an apocalyptic number.

It is an amenable number.

1303435144325 is a deficient number, since it is larger than the sum of its proper divisors (313420265023).

1303435144325 is a wasteful number, since it uses less digits than its factorization.

1303435144325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19220344 (or 19220339 counting only the distinct ones).

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

The spelling of 1303435144325 in words is "one trillion, three hundred three billion, four hundred thirty-five million, one hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 5 25 2713 13565 67825 19217621 96088105 480440525 52137405773 260687028865 1303435144325