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1310114013 = 313227314779
BaseRepresentation
bin100111000010110…
…1100000011011101
310101022012200120020
41032011230003131
510140342122023
6334000142353
744315533245
oct11605540335
93338180506
101310114013
1161258605a
123069079b9
1317b5696c0
14c5dd4b25
157a03bde3
hex4e16c0dd

1310114013 has 16 divisors (see below), whose sum is σ = 1882144320. Its totient is φ = 805814784.

The previous prime is 1310113997. The next prime is 1310114077. The reversal of 1310114013 is 3104110131.

It is not a de Polignac number, because 1310114013 - 24 = 1310113997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310113983 and 1310114001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310114083) 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, 81258 + ... + 96036.

It is an arithmetic number, because the mean of its divisors is an integer number (117634020).

Almost surely, 21310114013 is an apocalyptic number.

1310114013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310114013 is a deficient number, since it is larger than the sum of its proper divisors (572030307).

1310114013 is a wasteful number, since it uses less digits than its factorization.

1310114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1310114013 is about 36195.4971370749. The cubic root of 1310114013 is about 1094.2159237559.

Adding to 1310114013 its reverse (3104110131), we get a palindrome (4414224144).

The spelling of 1310114013 in words is "one billion, three hundred ten million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 13 39 2273 6819 14779 29549 44337 88647 192127 576381 33592667 100778001 436704671 1310114013