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38321248001 is a prime number
BaseRepresentation
bin100011101100000111…
…111101011100000001
310122220200012002200112
4203230013331130001
51111440214414001
625334325201105
72524431143051
oct435407753401
9118820162615
1038321248001
11152853888a3
127515860195
1337c933549a
141bd7657561
15ee442dcbb
hex8ec1fd701

38321248001 has 2 divisors, whose sum is σ = 38321248002. Its totient is φ = 38321248000.

The previous prime is 38321247971. The next prime is 38321248027. The reversal of 38321248001 is 10084212383.

38321248001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38003553025 + 317694976 = 194945^2 + 17824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38321248001 is a prime.

It is not a weakly prime, because it can be changed into another prime (38321248081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19160624000 + 19160624001.

It is an arithmetic number, because the mean of its divisors is an integer number (19160624001).

Almost surely, 238321248001 is an apocalyptic number.

It is an amenable number.

38321248001 is a deficient number, since it is larger than the sum of its proper divisors (1).

38321248001 is an equidigital number, since it uses as much as digits as its factorization.

38321248001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 38321248001 in words is "thirty-eight billion, three hundred twenty-one million, two hundred forty-eight thousand, one".