Search a number
-
+
41323412000201 is a prime number
BaseRepresentation
bin10010110010101010110110…
…10010110000110111001001
312102022110221122002022011012
421121111123102300313021
520404020321433001301
6223515414032213305
711463342446326442
oct1131253322606711
9172273848068135
1041323412000201
1112192184858561
12477490709a235
131a09a1cc04756
14a2c0c715c2c9
154b9db41d5ebb
hex25955b4b0dc9

41323412000201 has 2 divisors, whose sum is σ = 41323412000202. Its totient is φ = 41323412000200.

The previous prime is 41323412000173. The next prime is 41323412000207. The reversal of 41323412000201 is 10200021432314.

41323412000201 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., 38749068765625 + 2574343234576 = 6224875^2 + 1604476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41323412000201 is a prime.

It is not a weakly prime, because it can be changed into another prime (41323412000207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20661706000100 + 20661706000101.

It is an arithmetic number, because the mean of its divisors is an integer number (20661706000101).

Almost surely, 241323412000201 is an apocalyptic number.

It is an amenable number.

41323412000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

41323412000201 is an equidigital number, since it uses as much as digits as its factorization.

41323412000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 41323412000201 its reverse (10200021432314), we get a palindrome (51523433432515).

The spelling of 41323412000201 in words is "forty-one trillion, three hundred twenty-three billion, four hundred twelve million, two hundred one", and thus it is an aban number.