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123424010101 = 7211322290773
BaseRepresentation
bin111001011110010100…
…1001110111101110101
3102210120122001100100101
41302330221032331311
54010233021310401
6132411124514101
711626363530100
oct1627451167565
9383518040311
10123424010101
11483866aa637
121bb0654b931
13b83c698952
145d8bda3737
1533258a2101
hex1cbca4ef75

123424010101 has 12 divisors (see below), whose sum is σ = 144845449452. Its totient is φ = 104855791488.

The previous prime is 123424010081. The next prime is 123424010231. The reversal of 123424010101 is 101010424321.

It can be written as a sum of positive squares in 2 ways, for example, as 1012194225 + 122411815876 = 31815^2 + 349874^2 .

It is not a de Polignac number, because 123424010101 - 211 = 123424008053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123424010401) 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 11 ways as a sum of consecutive naturals, for example, 11139850 + ... + 11150923.

It is an arithmetic number, because the mean of its divisors is an integer number (12070454121).

Almost surely, 2123424010101 is an apocalyptic number.

It is an amenable number.

123424010101 is a deficient number, since it is larger than the sum of its proper divisors (21421439351).

123424010101 is a wasteful number, since it uses less digits than its factorization.

123424010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290900 (or 22290893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 123424010101 its reverse (101010424321), we get a palindrome (224434434422).

The spelling of 123424010101 in words is "one hundred twenty-three billion, four hundred twenty-four million, ten thousand, one hundred one".

Divisors: 1 7 49 113 791 5537 22290773 156035411 1092247877 2518857349 17632001443 123424010101