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1000101880049 is a prime number
BaseRepresentation
bin11101000110110101011…
…01111010000011110001
310112121102211010110122012
432203122231322003301
5112341202040130144
62043235050052305
7132153312501266
oct16433255720361
93477384113565
101000101880049
11356160490988
121419b011a095
1373403419cac
1436595ba726d
151b03568ce9e
hexe8dab7a0f1

1000101880049 has 2 divisors, whose sum is σ = 1000101880050. Its totient is φ = 1000101880048.

The previous prime is 1000101880009. The next prime is 1000101880067. The reversal of 1000101880049 is 9400881010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 935785369600 + 64316510449 = 967360^2 + 253607^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101880049 - 216 = 1000101814513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000101879997 and 1000101880024.

It is not a weakly prime, because it can be changed into another prime (1000101880009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050940024 + 500050940025.

It is an arithmetic number, because the mean of its divisors is an integer number (500050940025).

Almost surely, 21000101880049 is an apocalyptic number.

It is an amenable number.

1000101880049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101880049 is an equidigital number, since it uses as much as digits as its factorization.

1000101880049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 1000101880049 in words is "one trillion, one hundred one million, eight hundred eighty thousand, forty-nine".