Search a number
-
+
321113424001 is a prime number
BaseRepresentation
bin1001010110000111101…
…10100000000010000001
31010200211221120002120211
410223003312200002001
520230120014032001
6403303435034121
732125330032346
oct4530366400201
91120757502524
10321113424001
1111420217a247
125229829b941
13243860a73c6
141178325c7cd
158546063351
hex4ac3da0081

321113424001 has 2 divisors, whose sum is σ = 321113424002. Its totient is φ = 321113424000.

The previous prime is 321113423977. The next prime is 321113424157. The reversal of 321113424001 is 100424311123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305061800976 + 16051623025 = 552324^2 + 126695^2 .

It is a cyclic number.

It is not a de Polignac number, because 321113424001 - 213 = 321113415809 is a prime.

It is a super-3 number, since 3×3211134240013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (321113428001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160556712000 + 160556712001.

It is an arithmetic number, because the mean of its divisors is an integer number (160556712001).

Almost surely, 2321113424001 is an apocalyptic number.

It is an amenable number.

321113424001 is a deficient number, since it is larger than the sum of its proper divisors (1).

321113424001 is an equidigital number, since it uses as much as digits as its factorization.

321113424001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 321113424001 its reverse (100424311123), we get a palindrome (421537735124).

The spelling of 321113424001 in words is "three hundred twenty-one billion, one hundred thirteen million, four hundred twenty-four thousand, one".