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1001010112007 is a prime number
BaseRepresentation
bin11101001000100001101…
…10100010011000000111
310112200210010010102122212
432210100312202120013
5112400032042041012
62043505132414035
7132214651364003
oct16442066423007
93480703112585
101001010112007
11356587126004
1214200431731b
1373519636559
1436640667703
151b08a293b22
hexe910da2607

1001010112007 has 2 divisors, whose sum is σ = 1001010112008. Its totient is φ = 1001010112006.

The previous prime is 1001010111977. The next prime is 1001010112019. The reversal of 1001010112007 is 7002110101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1001010112007 - 216 = 1001010046471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001010111982 and 1001010112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001010114007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505056003 + 500505056004.

It is an arithmetic number, because the mean of its divisors is an integer number (500505056004).

Almost surely, 21001010112007 is an apocalyptic number.

1001010112007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010112007 is an equidigital number, since it uses as much as digits as its factorization.

1001010112007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 1001010112007 its reverse (7002110101001), we get a palindrome (8003120213008).

The spelling of 1001010112007 in words is "one trillion, one billion, ten million, one hundred twelve thousand, seven".