Search a number
-
+
105001050601 is a prime number
BaseRepresentation
bin110000111001010001…
…1001110000111101001
3101001000201000000222001
41201302203032013221
53210020232104401
6120123052531001
710405011126646
oct1416243160751
9331021000861
10105001050601
11405923a0477
1218424780a61
139b94948595
145121316dcd
152ae82ec601
hex18728ce1e9

105001050601 has 2 divisors, whose sum is σ = 105001050602. Its totient is φ = 105001050600.

The previous prime is 105001050593. The next prime is 105001050631. The reversal of 105001050601 is 106050100501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101856084201 + 3144966400 = 319149^2 + 56080^2 .

It is a cyclic number.

It is not a de Polignac number, because 105001050601 - 23 = 105001050593 is a prime.

It is a super-2 number, since 2×1050010506012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105001050631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500525300 + 52500525301.

It is an arithmetic number, because the mean of its divisors is an integer number (52500525301).

Almost surely, 2105001050601 is an apocalyptic number.

It is an amenable number.

105001050601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001050601 is an equidigital number, since it uses as much as digits as its factorization.

105001050601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 105001050601 in words is "one hundred five billion, one million, fifty thousand, six hundred one".