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1431301313 = 13983311197
BaseRepresentation
bin101010101001111…
…1110110011000001
310200202020122021202
41111103332303001
510412403120223
6354005430545
750316601061
oct12523766301
93622218252
101431301313
11674a28952
1233b40b455
1319a6bab70
14d813d3a1
15859c9428
hex554fecc1

1431301313 has 8 divisors (see below), whose sum is σ = 1541695848. Its totient is φ = 1320948864.

The previous prime is 1431301307. The next prime is 1431301357. The reversal of 1431301313 is 3131031341.

It can be written as a sum of positive squares in 4 ways, for example, as 6012304 + 1425289009 = 2452^2 + 37753^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1431301313 - 214 = 1431284929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1431301373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122231 + ... + 133427.

It is an arithmetic number, because the mean of its divisors is an integer number (192711981).

Almost surely, 21431301313 is an apocalyptic number.

1431301313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1431301313 is a deficient number, since it is larger than the sum of its proper divisors (110394535).

1431301313 is a wasteful number, since it uses less digits than its factorization.

1431301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21043.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1431301313 is about 37832.5430416725. The cubic root of 1431301313 is about 1126.9648134990.

Adding to 1431301313 its reverse (3131031341), we get a palindrome (4562332654).

The spelling of 1431301313 in words is "one billion, four hundred thirty-one million, three hundred one thousand, three hundred thirteen".

Divisors: 1 13 9833 11197 127829 145561 110100101 1431301313