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1311412014 = 2321144314951
BaseRepresentation
bin100111000101010…
…1000111100101110
310101101122122002100
41032022220330232
510141210141024
6334044035530
744332550433
oct11612507456
93341578070
101311412014
11613292290
12307232ba6
1317b902453
14c6251b8a
157a1e67c9
hex4e2a8f2e

1311412014 has 48 divisors (see below), whose sum is σ = 3106905984. Its totient is φ = 396474000.

The previous prime is 1311412013. The next prime is 1311412021. The reversal of 1311412014 is 4102141131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311412013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80239 + ... + 95189.

It is an arithmetic number, because the mean of its divisors is an integer number (64727208).

Almost surely, 21311412014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311412014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553452992).

1311412014 is an abundant number, since it is smaller than the sum of its proper divisors (1795493970).

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

1311412014 is a wasteful number, since it uses less digits than its factorization.

1311412014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15413 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1311412014 is about 36213.4231190590. The cubic root of 1311412014 is about 1094.5771708314.

Adding to 1311412014 its reverse (4102141131), we get a palindrome (5413553145).

The spelling of 1311412014 in words is "one billion, three hundred eleven million, four hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 443 886 1329 2658 3987 4873 7974 9746 14619 14951 29238 29902 43857 44853 87714 89706 134559 164461 269118 328922 493383 986766 1480149 2960298 6623293 13246586 19869879 39739758 59609637 72856223 119219274 145712446 218568669 437137338 655706007 1311412014