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1023312030031 is a prime number
BaseRepresentation
bin11101110010000100010…
…01100110100101001111
310121211100101010020210201
432321002021212211033
5113231220334430111
62102034132114331
7133634424511114
oct16710211464517
93554311106721
101023312030031
11364a90a66115
121463a91659a7
1375661ba8355
143775855a90b
151b94315e6c1
hexee4226694f

1023312030031 has 2 divisors, whose sum is σ = 1023312030032. Its totient is φ = 1023312030030.

The previous prime is 1023312029963. The next prime is 1023312030067. The reversal of 1023312030031 is 1300302133201.

1023312030031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1023312030031 - 227 = 1023177812303 is a prime.

It is a super-3 number, since 3×10233120300313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1023312029990 and 1023312030008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023312030931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511656015015 + 511656015016.

It is an arithmetic number, because the mean of its divisors is an integer number (511656015016).

Almost surely, 21023312030031 is an apocalyptic number.

1023312030031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023312030031 is an equidigital number, since it uses as much as digits as its factorization.

1023312030031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1023312030031 its reverse (1300302133201), we get a palindrome (2323614163232).

The spelling of 1023312030031 in words is "one trillion, twenty-three billion, three hundred twelve million, thirty thousand, thirty-one".