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13331142033 = 31123131134077
BaseRepresentation
bin11000110101001100…
…10001010110010001
31021102001220011221020
430122212101112101
5204300233021113
610042500350053
7651233560206
oct143246212621
937361804836
1013331142033
11572109a360
1227006a5329
131345b84531
14906727cad
15530563023
hex31a991591

13331142033 has 32 divisors (see below), whose sum is σ = 20388436992. Its totient is φ = 7669147200.

The previous prime is 13331142031. The next prime is 13331142049. The reversal of 13331142033 is 33024113331.

It is a happy number.

It is not a de Polignac number, because 13331142033 - 21 = 13331142031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13331141994 and 13331142012.

It is not an unprimeable number, because it can be changed into a prime (13331142031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32391 + ... + 166467.

It is an arithmetic number, because the mean of its divisors is an integer number (637138656).

Almost surely, 213331142033 is an apocalyptic number.

It is an amenable number.

13331142033 is a deficient number, since it is larger than the sum of its proper divisors (7057294959).

13331142033 is a wasteful number, since it uses less digits than its factorization.

13331142033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134245.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13331142033 its reverse (33024113331), we get a palindrome (46355255364).

The spelling of 13331142033 in words is "thirteen billion, three hundred thirty-one million, one hundred forty-two thousand, thirty-three".

Divisors: 1 3 11 23 33 69 131 253 393 759 1441 3013 4323 9039 33143 99429 134077 402231 1474847 3083771 4424541 9251313 17564087 33921481 52692261 101764443 193204957 403974001 579614871 1211922003 4443714011 13331142033