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10504141229 is a prime number
BaseRepresentation
bin10011100100001100…
…00111100110101101
31000010001101122212202
421302012013212231
5133003030004404
64454152111245
7521205504311
oct116206074655
930101348782
1010504141229
11450034a85a
122051995525
13cb52924aa
147190b5b41
1541729321e
hex2721879ad

10504141229 has 2 divisors, whose sum is σ = 10504141230. Its totient is φ = 10504141228.

The previous prime is 10504141217. The next prime is 10504141231. The reversal of 10504141229 is 92214140501.

10504141229 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., 10176169129 + 327972100 = 100877^2 + 18110^2 .

It is a cyclic number.

It is not a de Polignac number, because 10504141229 - 28 = 10504140973 is a prime.

It is a super-2 number, since 2×105041412292 (a number of 21 digits) contains 22 as substring.

Together with 10504141231, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10504141259) 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, 5252070614 + 5252070615.

It is an arithmetic number, because the mean of its divisors is an integer number (5252070615).

Almost surely, 210504141229 is an apocalyptic number.

It is an amenable number.

10504141229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10504141229 is an equidigital number, since it uses as much as digits as its factorization.

10504141229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 10504141229 in words is "ten billion, five hundred four million, one hundred forty-one thousand, two hundred twenty-nine".