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13134410001 = 321785845817
BaseRepresentation
bin11000011101101111…
…10011000100010001
31020220100201011022200
430032313303010101
5203344402110001
610011151553413
7643324433346
oct141667630421
936810634280
1013134410001
1156300396a9
12266682b869
1313141a284b
148c85567cd
1551d152086
hex30edf3111

13134410001 has 12 divisors (see below), whose sum is σ = 20087921412. Its totient is φ = 8241198336.

The previous prime is 13134409997. The next prime is 13134410053. The reversal of 13134410001 is 10001443131.

13134410001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3525509376 + 9608900625 = 59376^2 + 98025^2 .

It is not a de Polignac number, because 13134410001 - 22 = 13134409997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13134411001) 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 11 ways as a sum of consecutive naturals, for example, 42922756 + ... + 42923061.

It is an arithmetic number, because the mean of its divisors is an integer number (1673993451).

Almost surely, 213134410001 is an apocalyptic number.

It is an amenable number.

13134410001 is a deficient number, since it is larger than the sum of its proper divisors (6953511411).

13134410001 is a wasteful number, since it uses less digits than its factorization.

13134410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85845840 (or 85845837 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13134410001 its reverse (10001443131), we get a palindrome (23135853132).

The spelling of 13134410001 in words is "thirteen billion, one hundred thirty-four million, four hundred ten thousand, one".

Divisors: 1 3 9 17 51 153 85845817 257537451 772612353 1459378889 4378136667 13134410001