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1141331527 = 71134
BaseRepresentation
bin100010000000111…
…0101011001000111
32221112121122112001
41010001311121013
54314140102102
6305130410131
740166105110
oct10401653107
92845548461
101141331527
115362852a6
1227a290947
131525c25cb
14ab81b207
156a2ec487
hex44075647

1141331527 has 10 divisors (see below), whose sum is σ = 1316025128. Its totient is φ = 969626784.

The previous prime is 1141331497. The next prime is 1141331561. The reversal of 1141331527 is 7251331411.

It is not a de Polignac number, because 1141331527 - 211 = 1141329479 is a prime.

It is a Duffinian number.

Its product of digits (2520) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1141331495 and 1141331504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141301527) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 10100223 + ... + 10100335.

Almost surely, 21141331527 is an apocalyptic number.

1141331527 is a deficient number, since it is larger than the sum of its proper divisors (174693601).

1141331527 is an frugal number, since it uses more digits than its factorization.

1141331527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 120 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 1141331527 is about 33783.5984909838. The cubic root of 1141331527 is about 1045.0504854161.

Multiplying 1141331527 by its sum of digits (28), we get a square (31957282756 = 1787662).

Adding to 1141331527 its reverse (7251331411), we get a palindrome (8392662938).

The spelling of 1141331527 in words is "one billion, one hundred forty-one million, three hundred thirty-one thousand, five hundred twenty-seven".

Divisors: 1 7 113 791 12769 89383 1442897 10100279 163047361 1141331527