Search a number
-
+
105001223351 is a prime number
BaseRepresentation
bin110000111001010001…
…1111000010010110111
3101001000201022210221012
41201302203320102313
53210020303121401
6120123100342435
710405012446413
oct1416243702267
9331021283835
10105001223351
11405924a9242
1218424844a1b
139b949a90bb
14512135dd43
152ae83338bb
hex18728f84b7

105001223351 has 2 divisors, whose sum is σ = 105001223352. Its totient is φ = 105001223350.

The previous prime is 105001223323. The next prime is 105001223377. The reversal of 105001223351 is 153322100501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (153322100501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105001223351 - 226 = 104934114487 is a prime.

It is a super-2 number, since 2×1050012233512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105001228351) 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, 52500611675 + 52500611676.

It is an arithmetic number, because the mean of its divisors is an integer number (52500611676).

Almost surely, 2105001223351 is an apocalyptic number.

105001223351 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001223351 is an equidigital number, since it uses as much as digits as its factorization.

105001223351 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 105001223351 its reverse (153322100501), we get a palindrome (258323323852).

The spelling of 105001223351 in words is "one hundred five billion, one million, two hundred twenty-three thousand, three hundred fifty-one".