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1331111032109 is a prime number
BaseRepresentation
bin10011010111101100011…
…001100111010100101101
311201020211102020122010122
4103113230121213110231
5133302103411011414
62455300505014325
7165112113042035
oct23275431472455
94636742218118
101331111032109
11473580526081
12195b8a4843a5
13986a5703791
14485d73a48c5
152495a363b8e
hex135ec66752d

1331111032109 has 2 divisors, whose sum is σ = 1331111032110. Its totient is φ = 1331111032108.

The previous prime is 1331111032103. The next prime is 1331111032157. The reversal of 1331111032109 is 9012301111331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 805725254884 + 525385777225 = 897622^2 + 724835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331111032109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331111032103) 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, 665555516054 + 665555516055.

It is an arithmetic number, because the mean of its divisors is an integer number (665555516055).

Almost surely, 21331111032109 is an apocalyptic number.

It is an amenable number.

1331111032109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331111032109 is an equidigital number, since it uses as much as digits as its factorization.

1331111032109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 1331111032109 in words is "one trillion, three hundred thirty-one billion, one hundred eleven million, thirty-two thousand, one hundred nine".