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121123033 is a prime number
BaseRepresentation
bin1110011100000…
…11000011011001
322102220200120021
413032003003121
5222001414113
620004030441
73000346243
oct716030331
9272820507
10121123033
1162409589
1234692421
131c12b145
141212d093
15a97848d
hex73830d9

121123033 has 2 divisors, whose sum is σ = 121123034. Its totient is φ = 121123032.

The previous prime is 121123031. The next prime is 121123039. The reversal of 121123033 is 330321121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117332224 + 3790809 = 10832^2 + 1947^2 .

It is a cyclic number.

It is not a de Polignac number, because 121123033 - 21 = 121123031 is a prime.

Together with 121123031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 121122998 and 121123016.

It is not a weakly prime, because it can be changed into another prime (121123031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561516 + 60561517.

It is an arithmetic number, because the mean of its divisors is an integer number (60561517).

Almost surely, 2121123033 is an apocalyptic number.

It is an amenable number.

121123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

121123033 is an equidigital number, since it uses as much as digits as its factorization.

121123033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 121123033 is about 11005.5909882205. The cubic root of 121123033 is about 494.7763272011.

Adding to 121123033 its reverse (330321121), we get a palindrome (451444154).

The spelling of 121123033 in words is "one hundred twenty-one million, one hundred twenty-three thousand, thirty-three".