Search a number
-
+
10001111000009 is a prime number
BaseRepresentation
bin1001000110001001000010…
…1010110010001111001001
31022102002121121202220022212
42101202100222302033021
52302324233404000014
633134240313354505
72051361565603343
oct221422052621711
938362547686285
1010001111000009
1132064a1481848
121156347a08a35
1357714038ac8c
142680b08d2293
1512524274d23e
hex91890ab23c9

10001111000009 has 2 divisors, whose sum is σ = 10001111000010. Its totient is φ = 10001111000008.

The previous prime is 10001110999981. The next prime is 10001111000033. The reversal of 10001111000009 is 90000011110001.

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., 10000792734409 + 318265600 = 3162403^2 + 17840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001111000009 - 212 = 10001110995913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001110999957 and 10001111000002.

It is not a weakly prime, because it can be changed into another prime (10001111000609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555500004 + 5000555500005.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555500005).

Almost surely, 210001111000009 is an apocalyptic number.

It is an amenable number.

10001111000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111000009 is an equidigital number, since it uses as much as digits as its factorization.

10001111000009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10001111000009 in words is "ten trillion, one billion, one hundred eleven million, nine", and thus it is an aban number.