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1311149349 = 3442138449
BaseRepresentation
bin100111000100110…
…1000110100100101
310101101011021210000
41032021220310211
510141123234344
6334034251513
744330404566
oct11611506445
93341137700
101311149349
11613122a04
12307126b99
1317b83ca23
14c61c416d
157a193a69
hex4e268d25

1311149349 has 20 divisors (see below), whose sum is σ = 1963333900. Its totient is φ = 872000640.

The previous prime is 1311149341. The next prime is 1311149369. The reversal of 1311149349 is 9439411131.

1311149349 is a `hidden beast` number, since 13 + 111 + 493 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8661249 + 1302488100 = 2943^2 + 36090^2 .

It is not a de Polignac number, because 1311149349 - 23 = 1311149341 is a prime.

It is a super-2 number, since 2×13111493492 = 3438225230766247602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311149341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14877 + ... + 53325.

It is an arithmetic number, because the mean of its divisors is an integer number (98166695).

Almost surely, 21311149349 is an apocalyptic number.

It is an amenable number.

1311149349 is a deficient number, since it is larger than the sum of its proper divisors (652184551).

1311149349 is an equidigital number, since it uses as much as digits as its factorization.

1311149349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38882 (or 38873 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1311149349 is about 36209.7963126003. The cubic root of 1311149349 is about 1094.5040876949.

The spelling of 1311149349 in words is "one billion, three hundred eleven million, one hundred forty-nine thousand, three hundred forty-nine".

Divisors: 1 3 9 27 81 421 1263 3789 11367 34101 38449 115347 346041 1038123 3114369 16187029 48561087 145683261 437049783 1311149349