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1310131416 = 233114962619
BaseRepresentation
bin100111000010111…
…0000010011011000
310101022020120102210
41032011300103120
510140343201131
6334000355120
744315635056
oct11605602330
93338216383
101310131416
11612598140
12306915aa0
1317b5745b9
14c5ddb1d6
157a042146
hex4e1704d8

1310131416 has 32 divisors (see below), whose sum is σ = 3573086400. Its totient is φ = 397009440.

The previous prime is 1310131399. The next prime is 1310131421. The reversal of 1310131416 is 6141310131.

It is a junction number, because it is equal to n+sod(n) for n = 1310131392 and 1310131401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2481046 + ... + 2481573.

It is an arithmetic number, because the mean of its divisors is an integer number (111658950).

Almost surely, 21310131416 is an apocalyptic number.

It is an amenable number.

1310131416 is an abundant number, since it is smaller than the sum of its proper divisors (2262954984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310131416 is a wasteful number, since it uses less digits than its factorization.

1310131416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962639 (or 4962635 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1310131416 is about 36195.7375391081. The cubic root of 1310131416 is about 1094.2207687682.

Adding to 1310131416 its reverse (6141310131), we get a palindrome (7451441547).

The spelling of 1310131416 in words is "one billion, three hundred ten million, one hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4962619 9925238 14887857 19850476 29775714 39700952 54588809 59551428 109177618 119102856 163766427 218355236 327532854 436710472 655065708 1310131416