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1023300232033 is a prime number
BaseRepresentation
bin11101110010000010111…
…00100110001101100001
310121211022112220211222211
432321001130212031201
5113231204324411113
62102033031202121
7133634222312452
oct16710134461541
93554275824884
101023300232033
11364a85338102
121463a5216341
137565c6072a1
1437756b69129
151b9420cdb3d
hexee41726361

1023300232033 has 2 divisors, whose sum is σ = 1023300232034. Its totient is φ = 1023300232032.

The previous prime is 1023300231971. The next prime is 1023300232057. The reversal of 1023300232033 is 3302320033201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 759071335009 + 264228897024 = 871247^2 + 514032^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023300232033 - 229 = 1022763361121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023300231995 and 1023300232013.

It is not a weakly prime, because it can be changed into another prime (1023300232093) 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, 511650116016 + 511650116017.

It is an arithmetic number, because the mean of its divisors is an integer number (511650116017).

Almost surely, 21023300232033 is an apocalyptic number.

It is an amenable number.

1023300232033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023300232033 is an equidigital number, since it uses as much as digits as its factorization.

1023300232033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 1023300232033 its reverse (3302320033201), we get a palindrome (4325620265234).

The spelling of 1023300232033 in words is "one trillion, twenty-three billion, three hundred million, two hundred thirty-two thousand, thirty-three".