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1006114931351 is a prime number
BaseRepresentation
bin11101010010000010001…
…11111000001010010111
310120011221212202010022222
432221001013320022113
5112441010410300401
62050111450412555
7132455315545145
oct16510107701227
93504855663288
101006114931351
11358766716372
12142ba9a3115b
1373b5110540a
14369a6612595
151b288502c1b
hexea411f8297

1006114931351 has 2 divisors, whose sum is σ = 1006114931352. Its totient is φ = 1006114931350.

The previous prime is 1006114931219. The next prime is 1006114931359. The reversal of 1006114931351 is 1531394116001.

It is a strong prime.

It is an emirp because it is prime and its reverse (1531394116001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006114931351 - 226 = 1006047822487 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006114931359) 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, 503057465675 + 503057465676.

It is an arithmetic number, because the mean of its divisors is an integer number (503057465676).

Almost surely, 21006114931351 is an apocalyptic number.

1006114931351 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006114931351 is an equidigital number, since it uses as much as digits as its factorization.

1006114931351 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 35.

The spelling of 1006114931351 in words is "one trillion, six billion, one hundred fourteen million, nine hundred thirty-one thousand, three hundred fifty-one".