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1024073403131 is a prime number
BaseRepresentation
bin11101110011011111000…
…10000000101011111011
310121220022102210000100102
432321233202000223323
5113234300242400011
62102241451030015
7133662331205552
oct16715742005373
93556272700312
101024073403131
11365341813a89
1214658013b30b
137575385568c
14377cb70cd99
151b989e0673b
hexee6f880afb

1024073403131 has 2 divisors, whose sum is σ = 1024073403132. Its totient is φ = 1024073403130.

The previous prime is 1024073403121. The next prime is 1024073403149. The reversal of 1024073403131 is 1313043704201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1024073403131 is a prime.

It is a super-3 number, since 3×10240734031313 (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 = 1024073403094 and 1024073403103.

It is not a weakly prime, because it can be changed into another prime (1024073403121) 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, 512036701565 + 512036701566.

It is an arithmetic number, because the mean of its divisors is an integer number (512036701566).

Almost surely, 21024073403131 is an apocalyptic number.

1024073403131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024073403131 is an equidigital number, since it uses as much as digits as its factorization.

1024073403131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 1024073403131 in words is "one trillion, twenty-four billion, seventy-three million, four hundred three thousand, one hundred thirty-one".