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1131011505 = 34513214817
BaseRepresentation
bin100001101101001…
…1101110110110001
32220211012100010000
41003122131312301
54304014332010
6304121300213
740012303431
oct10332356661
92824170100
101131011505
11530476758
12276934669
1315041b1a0
14aa2d22c1
156945e7c0
hex4369ddb1

1131011505 has 40 divisors (see below), whose sum is σ = 2183410152. Its totient is φ = 556803072.

The previous prime is 1131011501. The next prime is 1131011549. The reversal of 1131011505 is 5051101311.

It can be written as a sum of positive squares in 4 ways, for example, as 12510369 + 1118501136 = 3537^2 + 33444^2 .

It is not a de Polignac number, because 1131011505 - 22 = 1131011501 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1131011501) 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 39 ways as a sum of consecutive naturals, for example, 102144 + ... + 112673.

Almost surely, 21131011505 is an apocalyptic number.

1131011505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131011505 is a deficient number, since it is larger than the sum of its proper divisors (1052398647).

1131011505 is a wasteful number, since it uses less digits than its factorization.

1131011505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214847 (or 214838 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The square root of 1131011505 is about 33630.5144920502. The cubic root of 1131011505 is about 1041.8911304084.

Adding to 1131011505 its reverse (5051101311), we get a palindrome (6182112816).

The spelling of 1131011505 in words is "one billion, one hundred thirty-one million, eleven thousand, five hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 214817 644451 1074085 1933353 2792621 3222255 5800059 8377863 9666765 13963105 17400177 25133589 29000295 41889315 75400767 87000885 125667945 226202301 377003835 1131011505