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133311310023231 = 32291393674613689
BaseRepresentation
bin11110010011111011110101…
…010001110100101000111111
3122111000102210102000022010100
4132103323311101310220333
5114433133030331220411
61151310211555412143
740036265352410664
oct3623736521645077
9574012712008110
10133311310023231
11395280110a903a
1212b5075bbb4053
135950283138412
1424cc432329a6b
151062aee379456
hex793ef5474a3f

133311310023231 has 24 divisors (see below), whose sum is σ = 200633907474000. Its totient is φ = 85192243742592.

The previous prime is 133311310023209. The next prime is 133311310023257. The reversal of 133311310023231 is 132320013113331.

133311310023231 is a `hidden beast` number, since 1 + 3 + 3 + 311 + 310 + 0 + 2 + 3 + 2 + 31 = 666.

It is not a de Polignac number, because 133311310023231 - 27 = 133311310023103 is a prime.

It is a super-2 number, since 2×1333113100232312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133311310023195 and 133311310023204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311310023131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837270566 + ... + 1837343123.

It is an arithmetic number, because the mean of its divisors is an integer number (8359746144750).

Almost surely, 2133311310023231 is an apocalyptic number.

133311310023231 is a deficient number, since it is larger than the sum of its proper divisors (67322597450769).

133311310023231 is a wasteful number, since it uses less digits than its factorization.

133311310023231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674613863 (or 3674613860 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133311310023231 its reverse (132320013113331), we get a palindrome (265631323136562).

The spelling of 133311310023231 in words is "one hundred thirty-three trillion, three hundred eleven billion, three hundred ten million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 29 87 139 261 417 1251 4031 12093 36279 3674613689 11023841067 33071523201 106563796981 319691390943 510771302771 959074172829 1532313908313 4596941724939 14812367780359 44437103341077 133311310023231