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10144100233 is a prime number
BaseRepresentation
bin10010111001010001…
…01010111110001001
3222011221220200111001
421130220222332021
5131233342201413
64354331135001
7506244300151
oct113450527611
928157820431
1010144100233
114336097713
121b712a4461
13c58801b97
146c3353761
153e58744dd
hex25ca2af89

10144100233 has 2 divisors, whose sum is σ = 10144100234. Its totient is φ = 10144100232.

The previous prime is 10144100189. The next prime is 10144100257. The reversal of 10144100233 is 33200144101.

10144100233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9827153424 + 316946809 = 99132^2 + 17803^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144100233 - 229 = 9607229321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10144100233.

It is not a weakly prime, because it can be changed into another prime (10144100633) 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, 5072050116 + 5072050117.

It is an arithmetic number, because the mean of its divisors is an integer number (5072050117).

Almost surely, 210144100233 is an apocalyptic number.

It is an amenable number.

10144100233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144100233 is an equidigital number, since it uses as much as digits as its factorization.

10144100233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10144100233 its reverse (33200144101), we get a palindrome (43344244334).

The spelling of 10144100233 in words is "ten billion, one hundred forty-four million, one hundred thousand, two hundred thirty-three".