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13204334332133 = 717732416307099
BaseRepresentation
bin1100000000100101111110…
…1010000100100011100101
31201202022200202121002200122
43000021133222010203211
53212314434042112013
644025553142251325
72531660466642260
oct300113752044345
951668622532618
1013204334332133
114230a2154886a
121593108a26b45
1374a217c57859
14339143a09cd7
1517d71d3c2a08
hexc025fa848e5

13204334332133 has 32 divisors (see below), whose sum is σ = 16264446739200. Its totient is φ = 10462718730240.

The previous prime is 13204334332129. The next prime is 13204334332141. The reversal of 13204334332133 is 33123343340231.

It is not a de Polignac number, because 13204334332133 - 22 = 13204334332129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13204334332093 and 13204334332102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204334332933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059983 + ... + 5247116.

It is an arithmetic number, because the mean of its divisors is an integer number (508263960600).

Almost surely, 213204334332133 is an apocalyptic number.

It is an amenable number.

13204334332133 is a deficient number, since it is larger than the sum of its proper divisors (3060112407067).

13204334332133 is a wasteful number, since it uses less digits than its factorization.

13204334332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307437.

The product of its (nonzero) digits is 139968, while the sum is 35.

Adding to 13204334332133 its reverse (33123343340231), we get a palindrome (46327677672364).

The spelling of 13204334332133 in words is "thirteen trillion, two hundred four billion, three hundred thirty-four million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 17 73 119 241 511 1241 1687 4097 8687 17593 28679 123151 299081 2093567 6307099 44149693 107220683 460418227 750544781 1520010859 3222927589 7827109859 10640076013 25840184603 54789769013 110960792707 180881292221 776725548949 1886333476019 13204334332133