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1030031032993 is a prime number
BaseRepresentation
bin11101111110100101010…
…00100100001010100001
310122110200122002222010021
432333102220210022201
5113334000421023433
62105104551433441
7134263062215044
oct16772250441241
93573618088107
101030031032993
11367919735526
12147763385881
1376192c07b51
1437bd4a4cc5b
151bbd7e7022d
hexefd2a242a1

1030031032993 has 2 divisors, whose sum is σ = 1030031032994. Its totient is φ = 1030031032992.

The previous prime is 1030031032981. The next prime is 1030031033021. The reversal of 1030031032993 is 3992301300301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 934097121169 + 95933911824 = 966487^2 + 309732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1030031032993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1030031002993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515015516496 + 515015516497.

It is an arithmetic number, because the mean of its divisors is an integer number (515015516497).

Almost surely, 21030031032993 is an apocalyptic number.

It is an amenable number.

1030031032993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030031032993 is an equidigital number, since it uses as much as digits as its factorization.

1030031032993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 34.

The spelling of 1030031032993 in words is "one trillion, thirty billion, thirty-one million, thirty-two thousand, nine hundred ninety-three".