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10144114021 is a prime number
BaseRepresentation
bin10010111001010001…
…01110010101100101
3222011221221101101201
421130220232111211
5131233343122041
64354331322501
7506244355306
oct113450562545
928157841351
1010144114021
1143360a7008
121b712b0431
13c58808242
146c33587ad
153e5878631
hex25ca2e565

10144114021 has 2 divisors, whose sum is σ = 10144114022. Its totient is φ = 10144114020.

The previous prime is 10144114007. The next prime is 10144114031. The reversal of 10144114021 is 12041144101.

10144114021 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., 10054072900 + 90041121 = 100270^2 + 9489^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144114021 - 27 = 10144113893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10144114021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144114031) 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, 5072057010 + 5072057011.

It is an arithmetic number, because the mean of its divisors is an integer number (5072057011).

Almost surely, 210144114021 is an apocalyptic number.

It is an amenable number.

10144114021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144114021 is an equidigital number, since it uses as much as digits as its factorization.

10144114021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10144114021 its reverse (12041144101), we get a palindrome (22185258122).

The spelling of 10144114021 in words is "ten billion, one hundred forty-four million, one hundred fourteen thousand, twenty-one".