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1112001101137 is a prime number
BaseRepresentation
bin10000001011101000011…
…011100011110101010001
310221022021021020212120001
4100023220123203311101
5121204334240214022
62210502442450001
7143224265255413
oct20135033436521
93838237225501
101112001101137
113996626a49a3
1215b61ab03901
1380b27237054
143bb6d2d09b3
151ddd438cb27
hex102e86e3d51

1112001101137 has 2 divisors, whose sum is σ = 1112001101138. Its totient is φ = 1112001101136.

The previous prime is 1112001101087. The next prime is 1112001101203. The reversal of 1112001101137 is 7311011002111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 647962211521 + 464038889616 = 804961^2 + 681204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1112001101137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1112001101837) 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, 556000550568 + 556000550569.

It is an arithmetic number, because the mean of its divisors is an integer number (556000550569).

Almost surely, 21112001101137 is an apocalyptic number.

It is an amenable number.

1112001101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112001101137 is an equidigital number, since it uses as much as digits as its factorization.

1112001101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 1112001101137 its reverse (7311011002111), we get a palindrome (8423012103248).

The spelling of 1112001101137 in words is "one trillion, one hundred twelve billion, one million, one hundred one thousand, one hundred thirty-seven".