Search a number
-
+
20001012200009 is a prime number
BaseRepresentation
bin1001000110000110110010…
…01110100011001001001001
32121211002002221002121000222
410203003121032203021021
510110144033110400014
6110312201013035425
74133011504414211
oct443033116431111
977732087077028
1020001012200009
116411421a63975
1222b03b6625b75
13b21119c02c59
144d20a8863241
1524a413b7708e
hex1230d93a3249

20001012200009 has 2 divisors, whose sum is σ = 20001012200010. Its totient is φ = 20001012200008.

The previous prime is 20001012200003. The next prime is 20001012200053. The reversal of 20001012200009 is 90000221010002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19542721111225 + 458291088784 = 4420715^2 + 676972^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001012200009 - 240 = 18901500572233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20001012200009.

It is not a weakly prime, because it can be changed into another prime (20001012200003) 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, 10000506100004 + 10000506100005.

It is an arithmetic number, because the mean of its divisors is an integer number (10000506100005).

Almost surely, 220001012200009 is an apocalyptic number.

It is an amenable number.

20001012200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001012200009 is an equidigital number, since it uses as much as digits as its factorization.

20001012200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 20001012200009 in words is "twenty trillion, one billion, twelve million, two hundred thousand, nine".