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1314405313 = 131931716787
BaseRepresentation
bin100111001011000…
…0011101111000001
310101121021201010021
41032112003233001
510142441432223
6334232133441
744400155314
oct11626035701
93347251107
101314405313
11614a47191
12308237281
1317c40ca30
14c67d097b
157a5d865d
hex4e583bc1

1314405313 has 16 divisors (see below), whose sum is σ = 1494803520. Its totient is φ = 1145745216.

The previous prime is 1314405293. The next prime is 1314405317. The reversal of 1314405313 is 3135044131.

It is a cyclic number.

It is not a de Polignac number, because 1314405313 - 225 = 1280850881 is a prime.

It is a super-2 number, since 2×13144053132 = 3455322653685255938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1314405317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69906 + ... + 86692.

It is an arithmetic number, because the mean of its divisors is an integer number (93425220).

Almost surely, 21314405313 is an apocalyptic number.

1314405313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1314405313 is a deficient number, since it is larger than the sum of its proper divisors (180398207).

1314405313 is a wasteful number, since it uses less digits than its factorization.

1314405313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17136.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1314405313 is about 36254.7281468225. The cubic root of 1314405313 is about 1095.4093291156.

Adding to 1314405313 its reverse (3135044131), we get a palindrome (4449449444).

The spelling of 1314405313 in words is "one billion, three hundred fourteen million, four hundred five thousand, three hundred thirteen".

Divisors: 1 13 19 247 317 4121 6023 16787 78299 218231 318953 4146389 5321479 69179227 101108101 1314405313