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1306252431 = 321119766977
BaseRepresentation
bin100110111011011…
…1101010010001111
310101000221111110200
41031312331102033
510133400034211
6333341304543
744240651061
oct11566752217
93330844420
101306252431
11610388870
12305565153
1317a816b43
14c56ab731
1579a27b56
hex4ddbd48f

1306252431 has 24 divisors (see below), whose sum is σ = 2068816464. Its totient is φ = 787637760.

The previous prime is 1306252421. The next prime is 1306252463. The reversal of 1306252431 is 1342526031.

1306252431 is a `hidden beast` number, since 1 + 3 + 0 + 625 + 2 + 4 + 31 = 666.

It is not a de Polignac number, because 1306252431 - 25 = 1306252399 is a prime.

It is a super-2 number, since 2×13062524312 = 3412590826986819522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1306252395 and 1306252404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306252421) 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, 13986 + ... + 52991.

It is an arithmetic number, because the mean of its divisors is an integer number (86200686).

Almost surely, 21306252431 is an apocalyptic number.

1306252431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1306252431 is a deficient number, since it is larger than the sum of its proper divisors (762564033).

1306252431 is a wasteful number, since it uses less digits than its factorization.

1306252431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67191 (or 67188 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1306252431 is about 36142.1143681440. The cubic root of 1306252431 is about 1093.1397927812.

Adding to 1306252431 its reverse (1342526031), we get a palindrome (2648778462).

The spelling of 1306252431 in words is "one billion, three hundred six million, two hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 197 591 1773 2167 6501 19503 66977 200931 602793 736747 2210241 6630723 13194469 39583407 118750221 145139159 435417477 1306252431