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12232203133131 = 3229191245375281
BaseRepresentation
bin1011001000000000100000…
…0111110110000011001011
31121022101110021020110011100
42302000020013312003023
53100403023000230011
642003221353032443
72401514253044022
oct262001007660313
947271407213140
1012232203133131
113996714859613
1214568240b5723
136a9651661607
1430408295d8b9
151632c3608d56
hexb20081f60cb

12232203133131 has 24 divisors (see below), whose sum is σ = 18373701116160. Its totient is φ = 7832378937600.

The previous prime is 12232203133093. The next prime is 12232203133153. The reversal of 12232203133131 is 13133130223221.

12232203133131 is a `hidden beast` number, since 1 + 2 + 2 + 32 + 2 + 0 + 313 + 313 + 1 = 666.

It is not a de Polignac number, because 12232203133131 - 214 = 12232203116747 is a prime.

It is a super-2 number, since 2×122322031331312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12232203133095 and 12232203133104.

It is not an unprimeable number, because it can be changed into a prime (12232203133231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122637790 + ... + 122737491.

It is an arithmetic number, because the mean of its divisors is an integer number (765570879840).

Almost surely, 212232203133131 is an apocalyptic number.

12232203133131 is a deficient number, since it is larger than the sum of its proper divisors (6141497983029).

12232203133131 is a wasteful number, since it uses less digits than its factorization.

12232203133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245375507 (or 245375504 counting only the distinct ones).

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

Adding to 12232203133131 its reverse (13133130223221), we get a palindrome (25365333356352).

The spelling of 12232203133131 in words is "twelve trillion, two hundred thirty-two billion, two hundred three million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 29 87 191 261 573 1719 5539 16617 49851 245375281 736125843 2208377529 7115883149 21347649447 46866678671 64042948341 140600036013 421800108039 1359133681459 4077401044377 12232203133131