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11331033210133 = 721337347689333
BaseRepresentation
bin1010010011100011011000…
…1101011001110100010101
31111010020101012001010021121
42210320312031121310111
52441121424000211013
640033223234043541
72246432365064200
oct244706615316425
944106335033247
1011331033210133
11367951193630a
1213300441195b1
136426866b20a0
142b25d4036937
15149b2d53358d
hexa4e36359d15

11331033210133 has 24 divisors (see below), whose sum is σ = 14232977110968. Its totient is φ = 8941177478016.

The previous prime is 11331033210131. The next prime is 11331033210173. The reversal of 11331033210133 is 33101233013311.

11331033210133 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 4 ways, for example, as 3243482135089 + 8087551075044 = 1800967^2 + 2843862^2 .

It is not a de Polignac number, because 11331033210133 - 21 = 11331033210131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331033210098 and 11331033210107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331033210131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23607066 + ... + 24082267.

It is an arithmetic number, because the mean of its divisors is an integer number (593040712957).

Almost surely, 211331033210133 is an apocalyptic number.

11331033210133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11331033210133 is a deficient number, since it is larger than the sum of its proper divisors (2901943900835).

11331033210133 is a wasteful number, since it uses less digits than its factorization.

11331033210133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47689733 (or 47689726 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 11331033210133 its reverse (33101233013311), we get a palindrome (44432266223444).

The spelling of 11331033210133 in words is "eleven trillion, three hundred thirty-one billion, thirty-three million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 373 637 2611 4849 18277 33943 237601 47689333 333825331 619961329 2336777317 4339729303 17788121209 30378105121 124516848463 231245575717 871617939241 1618719030019 11331033210133