Search a number
-
+
121121000993 is a prime number
BaseRepresentation
bin111000011001101011…
…1111100111000100001
3102120122010112100202202
41300303113330320201
53441023434012433
6131350415222545
711515330343606
oct1606327747041
9376563470682
10121121000993
1147404713823
121b583217a55
13b56350bc75
145c101906ad
15323d5d8ee8
hex1c335fce21

121121000993 has 2 divisors, whose sum is σ = 121121000994. Its totient is φ = 121121000992.

The previous prime is 121121000849. The next prime is 121121001007. The reversal of 121121000993 is 399000121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75584855329 + 45536145664 = 274927^2 + 213392^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121000993 - 210 = 121120999969 is a prime.

It is not a weakly prime, because it can be changed into another prime (121121000593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560500496 + 60560500497.

It is an arithmetic number, because the mean of its divisors is an integer number (60560500497).

Almost surely, 2121121000993 is an apocalyptic number.

It is an amenable number.

121121000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121000993 is an equidigital number, since it uses as much as digits as its factorization.

121121000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 121121000993 in words is "one hundred twenty-one billion, one hundred twenty-one million, nine hundred ninety-three", and thus it is an aban number.