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1029150363121 is a prime number
BaseRepresentation
bin11101111100111100010…
…01000100110111110001
310122101102020222022011121
432332132021010313301
5113330144443104441
62104441331542241
7134232206515306
oct16763611046761
93571366868147
101029150363121
11367507606191
1214755845a981
137608261ba0a
1437b4dac50ad
151bb859b0dd1
hexef9e244df1

1029150363121 has 2 divisors, whose sum is σ = 1029150363122. Its totient is φ = 1029150363120.

The previous prime is 1029150363107. The next prime is 1029150363179. The reversal of 1029150363121 is 1213630519201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 685360458225 + 343789904896 = 827865^2 + 586336^2 .

It is a cyclic number.

It is not a de Polignac number, because 1029150363121 - 229 = 1028613492209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1029150363221) 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 as a sum of consecutive naturals, namely, 514575181560 + 514575181561.

It is an arithmetic number, because the mean of its divisors is an integer number (514575181561).

Almost surely, 21029150363121 is an apocalyptic number.

It is an amenable number.

1029150363121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029150363121 is an equidigital number, since it uses as much as digits as its factorization.

1029150363121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 1029150363121 in words is "one trillion, twenty-nine billion, one hundred fifty million, three hundred sixty-three thousand, one hundred twenty-one".