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10144343401 is a prime number
BaseRepresentation
bin10010111001010011…
…00110010101101001
3222011222101001001021
421130221212111221
5131233422442101
64354340252441
7506246332123
oct113451462551
928158331037
1010144343401
114336243385
121b713a1121
13c5888877a
146c33b8213
153e58c15a1
hex25ca66569

10144343401 has 2 divisors, whose sum is σ = 10144343402. Its totient is φ = 10144343400.

The previous prime is 10144343383. The next prime is 10144343431. The reversal of 10144343401 is 10434344101.

10144343401 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6529448025 + 3614895376 = 80805^2 + 60124^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144343401 - 215 = 10144310633 is a prime.

It is not a weakly prime, because it can be changed into another prime (10144343431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072171700 + 5072171701.

It is an arithmetic number, because the mean of its divisors is an integer number (5072171701).

Almost surely, 210144343401 is an apocalyptic number.

It is an amenable number.

10144343401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144343401 is an equidigital number, since it uses as much as digits as its factorization.

10144343401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10144343401 its reverse (10434344101), we get a palindrome (20578687502).

The spelling of 10144343401 in words is "ten billion, one hundred forty-four million, three hundred forty-three thousand, four hundred one".