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1009638473101 is a prime number
BaseRepresentation
bin11101011000100110010…
…01000111110110001101
310120112001102220120221021
432230103021013312031
5113020214422114401
62051453240234141
7132641532264466
oct16542311076615
93515042816837
101009638473101
1135a204662445
12143811a6b951
13742930c526b
1436c1c57bd6d
151b3e2a102a1
hexeb13247d8d

1009638473101 has 2 divisors, whose sum is σ = 1009638473102. Its totient is φ = 1009638473100.

The previous prime is 1009638473071. The next prime is 1009638473111. The reversal of 1009638473101 is 1013748369001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796152891076 + 213485582025 = 892274^2 + 462045^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009638473101 - 211 = 1009638471053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009638473111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504819236550 + 504819236551.

It is an arithmetic number, because the mean of its divisors is an integer number (504819236551).

Almost surely, 21009638473101 is an apocalyptic number.

It is an amenable number.

1009638473101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009638473101 is an equidigital number, since it uses as much as digits as its factorization.

1009638473101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 1009638473101 in words is "one trillion, nine billion, six hundred thirty-eight million, four hundred seventy-three thousand, one hundred one".