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10144131337 is a prime number
BaseRepresentation
bin10010111001010001…
…10010100100001001
3222011221222021011001
421130220302210021
5131233344200322
64354331535001
7506244456634
oct113450624411
928157867131
1010144131337
11433610901a
121b712ba461
13c588130a2
146c3360c1b
153e587d827
hex25ca32909

10144131337 has 2 divisors, whose sum is σ = 10144131338. Its totient is φ = 10144131336.

The previous prime is 10144131313. The next prime is 10144131343. The reversal of 10144131337 is 73313144101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5323745296 + 4820386041 = 72964^2 + 69429^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144131337 - 219 = 10143607049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10144131367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072065668 + 5072065669.

It is an arithmetic number, because the mean of its divisors is an integer number (5072065669).

Almost surely, 210144131337 is an apocalyptic number.

It is an amenable number.

10144131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144131337 is an equidigital number, since it uses as much as digits as its factorization.

10144131337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 10144131337 its reverse (73313144101), we get a palindrome (83457275438).

The spelling of 10144131337 in words is "ten billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred thirty-seven".