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13430430204113 = 1341389509127261
BaseRepresentation
bin1100001101110000010000…
…0001011000000011010001
31202112221021202212102202002
43003130010001120003101
53230021010113012423
644321504321403345
72554213403101556
oct303340401300321
952487252772662
1013430430204113
1143088a47a090a
12160aaa7a99555
1376563a846ca0
1434607181aa2d
15184552837228
hexc37040580d1

13430430204113 has 32 divisors (see below), whose sum is σ = 14883698138400. Its totient is φ = 12040058419200.

The previous prime is 13430430204067. The next prime is 13430430204119. The reversal of 13430430204113 is 31140203403431.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4812964659409 + 8617465544704 = 2193847^2 + 2935552^2 .

It is a cyclic number.

It is not a de Polignac number, because 13430430204113 - 212 = 13430430200017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13430430204119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105470903 + ... + 105598163.

It is an arithmetic number, because the mean of its divisors is an integer number (465115566825).

Almost surely, 213430430204113 is an apocalyptic number.

13430430204113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13430430204113 is a deficient number, since it is larger than the sum of its proper divisors (1453267934287).

13430430204113 is a wasteful number, since it uses less digits than its factorization.

13430430204113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128213.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13430430204113 its reverse (31140203403431), we get a palindrome (44570633607544).

The spelling of 13430430204113 in words is "thirteen trillion, four hundred thirty billion, four hundred thirty million, two hundred four thousand, one hundred thirteen".

Divisors: 1 13 41 389 509 533 5057 6617 15949 20869 127261 198001 207337 271297 1654393 2574013 5217701 8118041 49504529 64775849 67830113 105534533 643558877 842086037 2029685689 2655809809 25197805261 26385913957 34525527517 327571468393 1033110015701 13430430204113