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201233203123131 = 3335390203234067
BaseRepresentation
bin101101110000010101000001…
…100101101101001110111011
3222101111201001220212120211000
4231300111001211231032323
5202334001044444420011
61551553131324140043
760246422240025024
oct5560250145551673
9871451056776730
10201233203123131
115913458202a273
121a6a0414697623
138839295731bba
143799a4bb55c4b
15183e80dbbc356
hexb7054196d3bb

201233203123131 has 32 divisors (see below), whose sum is σ = 298972397387520. Its totient is φ = 133773370359552.

The previous prime is 201233203123103. The next prime is 201233203123151. The reversal of 201233203123131 is 131321302332102.

201233203123131 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 32 + 0 + 312 + 313 + 1 = 666.

It is not a de Polignac number, because 201233203123131 - 26 = 201233203123067 is a prime.

It is a super-2 number, since 2×2012332031231312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201233203123095 and 201233203123104.

It is not an unprimeable number, because it can be changed into a prime (201233203123151) 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, 859607760 + ... + 859841826.

It is an arithmetic number, because the mean of its divisors is an integer number (9342887418360).

Almost surely, 2201233203123131 is an apocalyptic number.

201233203123131 is a deficient number, since it is larger than the sum of its proper divisors (97739194264389).

201233203123131 is a wasteful number, since it uses less digits than its factorization.

201233203123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324632 (or 324626 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 201233203123131 its reverse (131321302332102), we get a palindrome (332554505455233).

The spelling of 201233203123131 in words is "two hundred one trillion, two hundred thirty-three billion, two hundred three million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 353 1059 3177 9531 90203 234067 270609 702201 811827 2106603 2435481 6319809 31841659 82625651 95524977 247876953 286574931 743630859 859724793 2230892577 21113545601 63340636803 190021910409 570065731227 7453081597153 22359244791459 67077734374377 201233203123131