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13130042024 = 2311213564093
BaseRepresentation
bin11000011101001110…
…01000101010101000
31020220001111020120202
430032213020222220
5203342242321044
610010514211332
7643242341621
oct141647105250
936801436522
1013130042024
115628625a00
122665283b48
131313303648
148c7b3aa48
1551ca8cc4e
hex30e9c8aa8

13130042024 has 24 divisors (see below), whose sum is σ = 27060367530. Its totient is φ = 5968200480.

The previous prime is 13130041937. The next prime is 13130042041. The reversal of 13130042024 is 42024003131.

It can be written as a sum of positive squares in only one way, i.e., 12742345924 + 387696100 = 112882^2 + 19690^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13130041987 and 13130042005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6781079 + ... + 6783014.

Almost surely, 213130042024 is an apocalyptic number.

It is an amenable number.

13130042024 is an abundant number, since it is smaller than the sum of its proper divisors (13930325506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130042024 is a wasteful number, since it uses less digits than its factorization.

13130042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564121 (or 13564106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13130042024 its reverse (42024003131), we get a palindrome (55154045155).

The spelling of 13130042024 in words is "thirteen billion, one hundred thirty million, forty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 13564093 27128186 54256372 108512744 149205023 298410046 596820092 1193640184 1641255253 3282510506 6565021012 13130042024