Search a number
-
+
323000132121101 is a prime number
BaseRepresentation
bin100100101110001000101010…
…0001000110011001000001101
31120100122111210120021211001002
41021130101110020303020031
5314314013232310333401
63102544113501430045
7125014663245002561
oct11134212410631015
91510574716254032
10323000132121101
1193a1064aa93826
123028770a86b325
1310b2ca216c77c6
1459a940b33d6a1
152751e94835a6b
hex125c45423320d

323000132121101 has 2 divisors, whose sum is σ = 323000132121102. Its totient is φ = 323000132121100.

The previous prime is 323000132121091. The next prime is 323000132121103. The reversal of 323000132121101 is 101121231000323.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312494041605001 + 10506090516100 = 17677501^2 + 3241310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-323000132121101 is a prime.

Together with 323000132121103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (323000132121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161500066060550 + 161500066060551.

It is an arithmetic number, because the mean of its divisors is an integer number (161500066060551).

Almost surely, 2323000132121101 is an apocalyptic number.

It is an amenable number.

323000132121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

323000132121101 is an equidigital number, since it uses as much as digits as its factorization.

323000132121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 323000132121101 its reverse (101121231000323), we get a palindrome (424121363121424).

The spelling of 323000132121101 in words is "three hundred twenty-three trillion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred one".