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2144115131 = 234114511567
BaseRepresentation
bin111111111001100…
…1001100110111011
312112102112100000112
41333303021212323
513342343141011
6552431454535
7104063451344
oct17763114673
95472470015
102144115131
11a0032a484
124ba08744b
132822957a2
14164a910cb
15c837d58b
hex7fcc99bb

2144115131 has 16 divisors (see below), whose sum is σ = 2294949888. Its totient is φ = 1998216000.

The previous prime is 2144115119. The next prime is 2144115139. The reversal of 2144115131 is 1315114412.

It is a cyclic number.

It is not a de Polignac number, because 2144115131 - 26 = 2144115067 is a prime.

It is a super-2 number, since 2×21441151312 = 9194459389966294322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2144115097 and 2144115106.

It is not an unprimeable number, because it can be changed into a prime (2144115139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367510 + ... + 1369076.

It is an arithmetic number, because the mean of its divisors is an integer number (143434368).

Almost surely, 22144115131 is an apocalyptic number.

2144115131 is a deficient number, since it is larger than the sum of its proper divisors (150834757).

2144115131 is a wasteful number, since it uses less digits than its factorization.

2144115131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082.

The product of its digits is 480, while the sum is 23.

The square root of 2144115131 is about 46304.5908199176. The cubic root of 2144115131 is about 1289.4842260339.

Adding to 2144115131 its reverse (1315114412), we get a palindrome (3459229543).

The spelling of 2144115131 in words is "two billion, one hundred forty-four million, one hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 23 41 943 1451 1567 33373 36041 59491 64247 1368293 1477681 2273717 52295491 93222397 2144115131