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1001110100009 is a prime number
BaseRepresentation
bin11101001000101101100…
…11111101100000101001
310112201001002021100102012
432210112303331200221
5112400233141200014
62043523103445305
7132220304306135
oct16442663754051
93481032240365
101001110100009
11356628609518
121420318b6835
1373534274756
143664da543c5
151b093e44c3e
hexe916cfd829

1001110100009 has 2 divisors, whose sum is σ = 1001110100010. Its totient is φ = 1001110100008.

The previous prime is 1001110099991. The next prime is 1001110100017. The reversal of 1001110100009 is 9000010111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 633544362025 + 367565737984 = 795955^2 + 606272^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001110100009 - 212 = 1001110095913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001110099966 and 1001110100002.

It is not a weakly prime, because it can be changed into another prime (1001110100069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555050004 + 500555050005.

It is an arithmetic number, because the mean of its divisors is an integer number (500555050005).

Almost surely, 21001110100009 is an apocalyptic number.

It is an amenable number.

1001110100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110100009 is an equidigital number, since it uses as much as digits as its factorization.

1001110100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1001110100009 in words is "one trillion, one billion, one hundred ten million, one hundred thousand, nine".