Search a number
-
+
121000010009 is a prime number
BaseRepresentation
bin111000010110000101…
…0011010000100011001
3102120022200212101100012
41300230022122010121
53440302000310014
6131330414051305
711512331054324
oct1605412320431
9376280771305
10121000010009
114735239547a
121b54a7a9b35
13b544428c78
145bdc0977bb
153232b89c3e
hex1c2c29a119

121000010009 has 2 divisors, whose sum is σ = 121000010010. Its totient is φ = 121000010008.

The previous prime is 121000009997. The next prime is 121000010029. The reversal of 121000010009 is 900010000121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108469446409 + 12530563600 = 329347^2 + 111940^2 .

It is a cyclic number.

It is not a de Polignac number, because 121000010009 - 224 = 120983232793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121000009975 and 121000010002.

It is not a weakly prime, because it can be changed into another prime (121000010029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60500005004 + 60500005005.

It is an arithmetic number, because the mean of its divisors is an integer number (60500005005).

Almost surely, 2121000010009 is an apocalyptic number.

It is an amenable number.

121000010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

121000010009 is an equidigital number, since it uses as much as digits as its factorization.

121000010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 121000010009 in words is "one hundred twenty-one billion, ten thousand, nine".