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12410524241 = 149229557653
BaseRepresentation
bin10111000111011100…
…11001001001010001
31012000220120221201222
423203232121021101
5200404043233431
65411252334425
7616354500263
oct134356311121
935026527658
1012410524241
115299465605
1224a4314415
13122a21c48b
1485a361b33
154c981257b
hex2e3b99251

12410524241 has 16 divisors (see below), whose sum is σ = 12590154000. Its totient is φ = 12232604928.

The previous prime is 12410524223. The next prime is 12410524279. The reversal of 12410524241 is 14242501421.

12410524241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1389723841 + 11020800400 = 37279^2 + 104980^2 .

It is a cyclic number.

It is not a de Polignac number, because 12410524241 - 218 = 12410262097 is a prime.

It is a super-2 number, since 2×124105242412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12410524241.

It is not an unprimeable number, because it can be changed into a prime (12410526241) 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 in 15 ways as a sum of consecutive naturals, for example, 19005071 + ... + 19005723.

It is an arithmetic number, because the mean of its divisors is an integer number (786884625).

Almost surely, 212410524241 is an apocalyptic number.

It is an amenable number.

12410524241 is a deficient number, since it is larger than the sum of its proper divisors (179629759).

12410524241 is a wasteful number, since it uses less digits than its factorization.

12410524241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588.

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 12410524241 in words is "twelve billion, four hundred ten million, five hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 149 229 557 653 34121 82993 97297 127553 149537 363721 19005397 22281013 54194429 83292109 12410524241