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13240032333021 = 3213146161774233
BaseRepresentation
bin1100000010101010111101…
…1011001000110011011101
31201212201211121200102211200
43000222233123020303131
53213411041234124041
644054215322310113
72534363225642514
oct300525733106335
951781747612750
1013240032333021
1142450800a323a
12159a010058339
137506b696a9c0
1433ab6cacd67b
1517e60c37d1b6
hexc0aaf6c8cdd

13240032333021 has 24 divisors (see below), whose sum is σ = 20595773363256. Its totient is φ = 8147645936640.

The previous prime is 13240032333007. The next prime is 13240032333127. The reversal of 13240032333021 is 12033323004231.

13240032333021 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 0 + 0 + 323 + 330 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107199927396 + 13132832405625 = 327414^2 + 3623925^2 .

It is not a de Polignac number, because 13240032333021 - 210 = 13240032331997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13240032333821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16713721 + ... + 17487953.

It is an arithmetic number, because the mean of its divisors is an integer number (858157223469).

Almost surely, 213240032333021 is an apocalyptic number.

It is an amenable number.

13240032333021 is a deficient number, since it is larger than the sum of its proper divisors (7355741030235).

13240032333021 is a wasteful number, since it uses less digits than its factorization.

13240032333021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920413 (or 920410 counting only the distinct ones).

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

Adding to 13240032333021 its reverse (12033323004231), we get a palindrome (25273355337252).

The spelling of 13240032333021 in words is "thirteen trillion, two hundred forty billion, thirty-two million, three hundred thirty-three thousand, twenty-one".

Divisors: 1 3 9 13 39 117 146161 438483 774233 1315449 1900093 2322699 5700279 6968097 10065029 17100837 30195087 90585261 113162669513 339488008539 1018464025617 1471114703669 4413344111007 13240032333021