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1131431120 = 24518717559
BaseRepresentation
bin100001101110000…
…0100010011010000
32220211222122201022
41003130010103100
54304121243440
6304134255012
740016002001
oct10334042320
92824878638
101131431120
11530732a46
12276ab7468
13150537191
14aa3a11a8
15694e3cb5
hex437044d0

1131431120 has 40 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 452270720.

The previous prime is 1131431117. The next prime is 1131431123. The reversal of 1131431120 is 211341311.

1131431120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1131431117) and next prime (1131431123).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131431123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145901 + ... + 153459.

It is an arithmetic number, because the mean of its divisors is an integer number (65808288).

Almost surely, 21131431120 is an apocalyptic number.

1131431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131431120 is an abundant number, since it is smaller than the sum of its proper divisors (1500900400).

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

1131431120 is a wasteful number, since it uses less digits than its factorization.

1131431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1131431120 is about 33636.7525186365. The cubic root of 1131431120 is about 1042.0199646682.

Adding to 1131431120 its reverse (211341311), we get a palindrome (1342772431).

The spelling of 1131431120 in words is "one billion, one hundred thirty-one million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1871 3742 7484 7559 9355 14968 15118 18710 29936 30236 37420 37795 60472 74840 75590 120944 149680 151180 302360 604720 14142889 28285778 56571556 70714445 113143112 141428890 226286224 282857780 565715560 1131431120