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231233014233 = 321353261714249
BaseRepresentation
bin1101011101011010001…
…1111100100111011001
3211002212000201012102100
43113112203330213121
512242031122423413
6254121005554013
722464112122354
oct3272643744731
9732760635370
10231233014233
118a07a010061
1238993575909
1318a60c976a0
14b2981b129b
15603545aa73
hex35d68fc9d9

231233014233 has 48 divisors (see below), whose sum is σ = 366648282000. Its totient is φ = 139549243392.

The previous prime is 231233014219. The next prime is 231233014261. The reversal of 231233014233 is 332410332132.

231233014233 is a `hidden beast` number, since 2 + 3 + 1 + 233 + 0 + 1 + 423 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27911382489 + 203321631744 = 167067^2 + 450912^2 .

It is not a de Polignac number, because 231233014233 - 213 = 231233006041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231233014197 and 231233014206.

It is not an unprimeable number, because it can be changed into a prime (231233014213) 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 47 ways as a sum of consecutive naturals, for example, 16220893 + ... + 16235141.

It is an arithmetic number, because the mean of its divisors is an integer number (7638505875).

Almost surely, 2231233014233 is an apocalyptic number.

It is an amenable number.

231233014233 is a deficient number, since it is larger than the sum of its proper divisors (135415267767).

231233014233 is a wasteful number, since it uses less digits than its factorization.

231233014233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938 (or 16935 counting only the distinct ones).

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

Adding to 231233014233 its reverse (332410332132), we get a palindrome (563643346365).

The spelling of 231233014233 in words is "two hundred thirty-one billion, two hundred thirty-three million, fourteen thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 2617 6201 7851 14249 23553 34021 42747 102063 128241 138701 185237 306189 416103 555711 755197 1248309 1667133 1803113 2265591 5409339 6796773 9817561 16228017 29452683 37289633 88358049 111868899 335606697 484765229 1454295687 1976350549 4362887061 5929051647 17787154941 25692557137 77077671411 231233014233