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121033013029 is a prime number
BaseRepresentation
bin111000010111000100…
…0010011011100100101
3102120101222222002222021
41300232020103130211
53440333422404104
6131333553303141
711513211431125
oct1605610233445
9376358862867
10121033013029
1147369a870a5
121b559864ab1
13b54b212a96
145c02608c85
153235a08754
hex1c2e213725

121033013029 has 2 divisors, whose sum is σ = 121033013030. Its totient is φ = 121033013028.

The previous prime is 121033013011. The next prime is 121033013041. The reversal of 121033013029 is 920310330121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121015624129 + 17388900 = 347873^2 + 4170^2 .

It is a cyclic number.

It is not a de Polignac number, because 121033013029 - 213 = 121033004837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121033012994 and 121033013012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121033013009) 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 as a sum of consecutive naturals, namely, 60516506514 + 60516506515.

It is an arithmetic number, because the mean of its divisors is an integer number (60516506515).

Almost surely, 2121033013029 is an apocalyptic number.

It is an amenable number.

121033013029 is a deficient number, since it is larger than the sum of its proper divisors (1).

121033013029 is an equidigital number, since it uses as much as digits as its factorization.

121033013029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 121033013029 in words is "one hundred twenty-one billion, thirty-three million, thirteen thousand, twenty-nine".