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4321004321 = 291011499901
BaseRepresentation
bin1000000011000110…
…10100101100100001
3102011010201202121002
410001203110230201
532322134114241
61552434041345
7212035634144
oct40143245441
912133652532
104321004321
111918104557
12a07119255
1353b294aba
142cdc3405b
151a453289b
hex1018d4b21

4321004321 has 16 divisors (see below), whose sum is σ = 4545018000. Its totient is φ = 4102560000.

The previous prime is 4321004251. The next prime is 4321004333. The reversal of 4321004321 is 1234001234.

It can be written as a sum of positive squares in 8 ways, for example, as 592192225 + 3728812096 = 24335^2 + 61064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4321004321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4321004293 and 4321004302.

It is not an unprimeable number, because it can be changed into a prime (4321004341) 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, 431471 + ... + 441371.

It is an arithmetic number, because the mean of its divisors is an integer number (284063625).

Almost surely, 24321004321 is an apocalyptic number.

It is an amenable number.

4321004321 is a deficient number, since it is larger than the sum of its proper divisors (224013679).

4321004321 is a wasteful number, since it uses less digits than its factorization.

4321004321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4321004321 is about 65734.3465853278. The cubic root of 4321004321 is about 1628.7767706691.

Adding to 4321004321 its reverse (1234001234), we get a palindrome (5555005555).

It can be divided in two parts, 432100 and 4321, that multiplied together give a square (1867104100 = 432102).

The spelling of 4321004321 in words is "four billion, three hundred twenty-one million, four thousand, three hundred twenty-one".

Divisors: 1 29 101 149 2929 4321 9901 15049 287129 436421 1000001 1475249 29000029 42782221 149000149 4321004321