Search a number
-
+
601343320454029 is a prime number
BaseRepresentation
bin1000100010111010110010011…
…1000000001111001110001101
32220212011212012221022201001201
42020232230213000033032031
51112304402110014012104
65530541150243505501
7240443423031564406
oct21056544700171615
92825155187281051
10601343320454029
111646742a745445a
1257540445388291
131ca7057c87a8ca
14a86d259da69ad
15497c4be36d0a4
hex222eb2700f38d

601343320454029 has 2 divisors, whose sum is σ = 601343320454030. Its totient is φ = 601343320454028.

The previous prime is 601343320454003. The next prime is 601343320454087. The reversal of 601343320454029 is 920454023343106.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 455702520896100 + 145640799557929 = 21347190^2 + 12068173^2 .

It is a cyclic number.

It is not a de Polignac number, because 601343320454029 - 219 = 601343319929741 is a prime.

It is a super-2 number, since 2×6013433204540292 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 601343320454029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (601343320458029) 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, 300671660227014 + 300671660227015.

It is an arithmetic number, because the mean of its divisors is an integer number (300671660227015).

Almost surely, 2601343320454029 is an apocalyptic number.

It is an amenable number.

601343320454029 is a deficient number, since it is larger than the sum of its proper divisors (1).

601343320454029 is an equidigital number, since it uses as much as digits as its factorization.

601343320454029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 601343320454029 in words is "six hundred one trillion, three hundred forty-three billion, three hundred twenty million, four hundred fifty-four thousand, twenty-nine".