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10144324093 is a prime number
BaseRepresentation
bin10010111001010011…
…00001100111111101
3222011222100001120011
421130221201213331
5131233421332333
64354340023221
7506246221621
oct113451414775
928158301504
1010144324093
11433622a922
121b71391b11
13c5887ca47
146c33b1181
153e58ba9cd
hex25ca619fd

10144324093 has 2 divisors, whose sum is σ = 10144324094. Its totient is φ = 10144324092.

The previous prime is 10144324061. The next prime is 10144324109. The reversal of 10144324093 is 39042344101.

10144324093 is digitally balanced in base 3, 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., 7694272089 + 2450052004 = 87717^2 + 49498^2 .

It is an emirp because it is prime and its reverse (39042344101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10144324093 - 25 = 10144324061 is a prime.

It is a super-2 number, since 2×101443240932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144324493) 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, 5072162046 + 5072162047.

It is an arithmetic number, because the mean of its divisors is an integer number (5072162047).

Almost surely, 210144324093 is an apocalyptic number.

It is an amenable number.

10144324093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144324093 is an equidigital number, since it uses as much as digits as its factorization.

10144324093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 10144324093 its reverse (39042344101), we get a palindrome (49186668194).

The spelling of 10144324093 in words is "ten billion, one hundred forty-four million, three hundred twenty-four thousand, ninety-three".