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120312110033 is a prime number
BaseRepresentation
bin111000000001100101…
…0010001101111010001
3102111112202110102222022
41300003022101233101
53432344400010113
6131134242021225
711456306030123
oct1600312215721
9374482412868
10120312110033
114702a05aaa5
121b398347815
13b464a6526b
145b7498d213
1531e25a7908
hex1c03291bd1

120312110033 has 2 divisors, whose sum is σ = 120312110034. Its totient is φ = 120312110032.

The previous prime is 120312110003. The next prime is 120312110041. The reversal of 120312110033 is 330011213021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117709375744 + 2602734289 = 343088^2 + 51017^2 .

It is a cyclic number.

It is not a de Polignac number, because 120312110033 - 210 = 120312109009 is a prime.

It is a super-2 number, since 2×1203121100332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120312109993 and 120312110020.

It is not a weakly prime, because it can be changed into another prime (120312110003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60156055016 + 60156055017.

It is an arithmetic number, because the mean of its divisors is an integer number (60156055017).

Almost surely, 2120312110033 is an apocalyptic number.

It is an amenable number.

120312110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

120312110033 is an equidigital number, since it uses as much as digits as its factorization.

120312110033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 120312110033 its reverse (330011213021), we get a palindrome (450323323054).

The spelling of 120312110033 in words is "one hundred twenty billion, three hundred twelve million, one hundred ten thousand, thirty-three".