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434131220113233 = 31919969975469923
BaseRepresentation
bin110001010110101110000110…
…1001010010010011101010001
32002221010112120011102222212220
41202231130031022102131101
5423400301214322110413
64135153043530411253
7160304642225030526
oct14255341512223521
92087115504388786
10434131220113233
1111636701aa81595
1240835657290b29
1315831524374536
14792c0c548714d
15352cb38dd6223
hex18ad70d292751

434131220113233 has 32 divisors (see below), whose sum is σ = 612456450432000. Its totient is φ = 272771269695936.

The previous prime is 434131220113231. The next prime is 434131220113301. The reversal of 434131220113233 is 332311022131434.

It is not a de Polignac number, because 434131220113233 - 21 = 434131220113231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434131220113194 and 434131220113203.

It is not an unprimeable number, because it can be changed into a prime (434131220113231) 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 31 ways as a sum of consecutive naturals, for example, 76632010 + ... + 82101932.

It is an arithmetic number, because the mean of its divisors is an integer number (19139264076000).

Almost surely, 2434131220113233 is an apocalyptic number.

It is an amenable number.

434131220113233 is a deficient number, since it is larger than the sum of its proper divisors (178325230318767).

434131220113233 is a wasteful number, since it uses less digits than its factorization.

434131220113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477141.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 434131220113233 its reverse (332311022131434), we get a palindrome (766442242244667).

The spelling of 434131220113233 in words is "four hundred thirty-four trillion, one hundred thirty-one billion, two hundred twenty million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 19 57 199 597 3781 6997 11343 20991 132943 398829 1392403 4177209 5469923 16409769 26455657 79366971 103928537 311785611 1088514677 3265544031 20681778863 38273051231 62045336589 114819153693 727187973389 2181563920167 7616337194969 22849011584907 144710406704411 434131220113233