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1131142005 = 325717211231
BaseRepresentation
bin100001101101011…
…1101101101110101
32220211102222010100
41003122331231311
54304033021010
6304124144313
740013356050
oct10332755565
92824388110
101131142005
11530555804
12276998099
131504656c6
14aa327a97
15694882c0
hex436bdb75

1131142005 has 48 divisors (see below), whose sum is σ = 2372557824. Its totient is φ = 486673920.

The previous prime is 1131141959. The next prime is 1131142031. The reversal of 1131142005 is 5002411311.

It is not a de Polignac number, because 1131142005 - 210 = 1131140981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100261 + ... + 110970.

It is an arithmetic number, because the mean of its divisors is an integer number (49428288).

Almost surely, 21131142005 is an apocalyptic number.

1131142005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131142005 is an abundant number, since it is smaller than the sum of its proper divisors (1241415819).

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

1131142005 is a wasteful number, since it uses less digits than its factorization.

1131142005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211266 (or 211263 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1131142005 is about 33632.4546383400. The cubic root of 1131142005 is about 1041.9312011954.

Adding to 1131142005 its reverse (5002411311), we get a palindrome (6133553316).

The spelling of 1131142005 in words is "one billion, one hundred thirty-one million, one hundred forty-two thousand, five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 211231 633693 1056155 1478617 1901079 3168465 3590927 4435851 7393085 9505395 10772781 13307553 17954635 22179255 25136489 32318343 53863905 66537765 75409467 125682445 161591715 226228401 377047335 1131142005