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13133042343 = 3223210925307
BaseRepresentation
bin11000011101100101…
…00101001010100111
31020220021010200020200
430032302211022213
5203344024323333
610011102401543
7643310006121
oct141662451247
936807120220
1013133042343
11562a295103
1226662902b3
131313b14195
148c82bc211
1551ce81c13
hex30eca52a7

13133042343 has 36 divisors (see below), whose sum is σ = 20013313320. Its totient is φ = 8297533728.

The previous prime is 13133042311. The next prime is 13133042347. The reversal of 13133042343 is 34324033131.

13133042343 is a `hidden beast` number, since 1 + 3 + 13 + 304 + 2 + 343 = 666.

13133042343 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 13133042343 - 25 = 13133042311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133042347) 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 35 ways as a sum of consecutive naturals, for example, 506296 + ... + 531602.

It is an arithmetic number, because the mean of its divisors is an integer number (555925370).

Almost surely, 213133042343 is an apocalyptic number.

13133042343 is a deficient number, since it is larger than the sum of its proper divisors (6880270977).

13133042343 is a wasteful number, since it uses less digits than its factorization.

13133042343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25468 (or 25442 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13133042343 its reverse (34324033131), we get a palindrome (47457075474).

The spelling of 13133042343 in words is "thirteen billion, one hundred thirty-three million, forty-two thousand, three hundred forty-three".

Divisors: 1 3 9 23 69 109 207 327 529 981 1587 2507 4761 7521 22563 25307 57661 75921 172983 227763 518949 582061 1746183 2758463 5238549 8275389 13387403 24826167 40162209 63444649 120486627 190333947 571001841 1459226927 4377680781 13133042343