Search a number
-
+
321331233001 is a prime number
BaseRepresentation
bin1001010110100001101…
…01011000000011101001
31010201102010101221100211
410223100311120003221
520231041243424001
6403341215301121
732133613262122
oct4532065300351
91121363357324
10321331233001
11114304116389
125233921a7a1
13243bc25877c
14117a4159049
15855a239351
hex4ad0d580e9

321331233001 has 2 divisors, whose sum is σ = 321331233002. Its totient is φ = 321331233000.

The previous prime is 321331232977. The next prime is 321331233007. The reversal of 321331233001 is 100332133123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317730632976 + 3600600025 = 563676^2 + 60005^2 .

It is a cyclic number.

It is not a de Polignac number, because 321331233001 - 217 = 321331101929 is a prime.

It is a super-2 number, since 2×3213312330012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321331233007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160665616500 + 160665616501.

It is an arithmetic number, because the mean of its divisors is an integer number (160665616501).

Almost surely, 2321331233001 is an apocalyptic number.

It is an amenable number.

321331233001 is a deficient number, since it is larger than the sum of its proper divisors (1).

321331233001 is an equidigital number, since it uses as much as digits as its factorization.

321331233001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 321331233001 its reverse (100332133123), we get a palindrome (421663366124).

The spelling of 321331233001 in words is "three hundred twenty-one billion, three hundred thirty-one million, two hundred thirty-three thousand, one".