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2143132024 = 2311139241727
BaseRepresentation
bin111111110111101…
…1001100101111000
312112100200101110011
41333233121211320
513342120211044
6552354431304
7104052215215
oct17757314570
95470611404
102143132024
119aa8188a0
124b9892534
13282010177
141648b6b0c
15c8237134
hex7fbd9978

2143132024 has 64 divisors (see below), whose sum is σ = 4439635200. Its totient is φ = 961804800.

The previous prime is 2143132003. The next prime is 2143132087. The reversal of 2143132024 is 4202313412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2143131986 and 2143132004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2947549 + ... + 2948275.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 22143132024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143132024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219817600).

2143132024 is an abundant number, since it is smaller than the sum of its proper divisors (2296503176).

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

2143132024 is a wasteful number, since it uses less digits than its factorization.

2143132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2143132024 is about 46293.9739491005. The cubic root of 2143132024 is about 1289.2871136754.

Adding to 2143132024 its reverse (4202313412), we get a palindrome (6345445436).

The spelling of 2143132024 in words is "two billion, one hundred forty-three million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 139 241 278 482 556 727 964 1112 1454 1529 1928 2651 2908 3058 5302 5816 6116 7997 10604 12232 15994 21208 31988 33499 63976 66998 101053 133996 175207 202106 267992 350414 368489 404212 700828 736978 808424 1111583 1401656 1473956 1927277 2223166 2947912 3854554 4446332 7709108 8892664 15418216 24353773 48707546 97415092 194830184 267891503 535783006 1071566012 2143132024