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124443131241 = 31113227498117
BaseRepresentation
bin111001111100101100…
…0110111110101101001
3102220012122201001201210
41303321120313311221
54014324420144431
6133100212103333
711663550106542
oct1637130676551
9386178631653
10124443131241
11488599a3410
122014b904b49
13b97286c200
14604748b4c9
1533850add46
hex1cf9637d69

124443131241 has 48 divisors (see below), whose sum is σ = 196098408000. Its totient is φ = 69584636160.

The previous prime is 124443131237. The next prime is 124443131249. The reversal of 124443131241 is 142131344421.

It is a happy number.

It is not a de Polignac number, because 124443131241 - 22 = 124443131237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 124443131199 and 124443131208.

It is not an unprimeable number, because it can be changed into a prime (124443131249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15327115 + ... + 15335231.

It is an arithmetic number, because the mean of its divisors is an integer number (4085383500).

Almost surely, 2124443131241 is an apocalyptic number.

124443131241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124443131241 is a deficient number, since it is larger than the sum of its proper divisors (71655276759).

124443131241 is a wasteful number, since it uses less digits than its factorization.

124443131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10893 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 124443131241 its reverse (142131344421), we get a palindrome (266574475662).

The spelling of 124443131241 in words is "one hundred twenty-four billion, four hundred forty-three million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 11 13 33 39 143 169 429 507 1859 2749 5577 8117 8247 24351 30239 35737 89287 90717 105521 107211 267861 316563 393107 464581 1160731 1179321 1371773 1393743 3482193 4115319 5110391 15089503 15331173 22313633 45268509 66940899 245449963 290077229 736349889 870231687 3190849519 3771003977 9572548557 11313011931 41481043747 124443131241