Search a number
-
+
1311330141 = 34111471751
BaseRepresentation
bin100111000101001…
…0100111101011101
310101101111110210000
41032022110331131
510141200031031
6334042204513
744332056642
oct11612247535
93341443700
101311330141
11613236820
123071b3739
1317b8a40c4
14c622ddc9
157a1cc3e6
hex4e294f5d

1311330141 has 20 divisors (see below), whose sum is σ = 2136983904. Its totient is φ = 794745000.

The previous prime is 1311330133. The next prime is 1311330151. The reversal of 1311330141 is 1410331131.

It is not a de Polignac number, because 1311330141 - 23 = 1311330133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311330151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 734985 + ... + 736766.

Almost surely, 21311330141 is an apocalyptic number.

1311330141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311330141 is a deficient number, since it is larger than the sum of its proper divisors (825653763).

1311330141 is a wasteful number, since it uses less digits than its factorization.

1311330141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471774 (or 1471765 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1311330141 is about 36212.2926780396. The cubic root of 1311330141 is about 1094.5543917758.

Adding to 1311330141 its reverse (1410331131), we get a palindrome (2721661272).

The spelling of 1311330141 in words is "one billion, three hundred eleven million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 1471751 4415253 13245759 16189261 39737277 48567783 119211831 145703349 437110047 1311330141