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13020424443 = 32131913144711
BaseRepresentation
bin11000010000001001…
…11110100011111011
31020121102020002112100
430020010332203323
5203131212040233
65552000514443
7640441532055
oct141004764373
936542202470
1013020424443
115581765664
12263461ba23
1312c66a3380
148b73648d5
15513138813
hex30813e8fb

13020424443 has 48 divisors (see below), whose sum is σ = 21483221760. Its totient is φ = 7532740800.

The previous prime is 13020424433. The next prime is 13020424447. The reversal of 13020424443 is 34442402031.

It is a happy number.

13020424443 is a `hidden beast` number, since 13 + 0 + 204 + 2 + 4 + 443 = 666.

13020424443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13020424443 - 25 = 13020424411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13020424447) 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 47 ways as a sum of consecutive naturals, for example, 268858 + ... + 313568.

It is an arithmetic number, because the mean of its divisors is an integer number (447567120).

Almost surely, 213020424443 is an apocalyptic number.

13020424443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13020424443 is a deficient number, since it is larger than the sum of its proper divisors (8462797317).

13020424443 is a wasteful number, since it uses less digits than its factorization.

13020424443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44880 (or 44877 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13020424443 its reverse (34442402031), we get a palindrome (47462826474).

The spelling of 13020424443 in words is "thirteen billion, twenty million, four hundred twenty-four thousand, four hundred forty-three".

Divisors: 1 3 9 13 19 39 57 117 131 171 247 393 741 1179 1703 2223 2489 5109 7467 15327 22401 32357 44711 97071 134133 291213 402399 581243 849509 1743729 2548527 5231187 5857141 7645581 11043617 17571423 33130851 52714269 76142833 99392553 111285679 228428499 333857037 685285497 1001571111 1446713827 4340141481 13020424443