Search a number
-
+
10144453201 is a prime number
BaseRepresentation
bin10010111001010100…
…00001001001010001
3222011222120121122221
421130222001021101
5131233440000301
64354342501041
7506250300211
oct113452011121
928158517587
1010144453201
114336308923
121b71434781
13c588c673c
146c3406241
153e58e3da1
hex25ca81251

10144453201 has 2 divisors, whose sum is σ = 10144453202. Its totient is φ = 10144453200.

The previous prime is 10144453169. The next prime is 10144453219. The reversal of 10144453201 is 10235444101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5726856976 + 4417596225 = 75676^2 + 66465^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144453201 - 25 = 10144453169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10144451201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072226600 + 5072226601.

It is an arithmetic number, because the mean of its divisors is an integer number (5072226601).

Almost surely, 210144453201 is an apocalyptic number.

It is an amenable number.

10144453201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144453201 is an equidigital number, since it uses as much as digits as its factorization.

10144453201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10144453201 its reverse (10235444101), we get a palindrome (20379897302).

The spelling of 10144453201 in words is "ten billion, one hundred forty-four million, four hundred fifty-three thousand, two hundred one".