Search a number
-
+
121577602649 is a prime number
BaseRepresentation
bin111000100111010010…
…1101111111001011001
3102121210221201010111012
41301032211233321121
53442442331241044
6131504005543305
711532543400016
oct1611645577131
9377727633435
10121577602649
1147619429368
121b690114b35
13b606caa769
145c54a8a70d
15326872d59e
hex1c4e96fe59

121577602649 has 2 divisors, whose sum is σ = 121577602650. Its totient is φ = 121577602648.

The previous prime is 121577602613. The next prime is 121577602651. The reversal of 121577602649 is 946206775121.

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., 121159686400 + 417916249 = 348080^2 + 20443^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121577602649 is a prime.

It is a super-2 number, since 2×1215776026492 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 121577602651, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121577602597 and 121577602606.

It is not a weakly prime, because it can be changed into another prime (121574602649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60788801324 + 60788801325.

It is an arithmetic number, because the mean of its divisors is an integer number (60788801325).

Almost surely, 2121577602649 is an apocalyptic number.

It is an amenable number.

121577602649 is a deficient number, since it is larger than the sum of its proper divisors (1).

121577602649 is an equidigital number, since it uses as much as digits as its factorization.

121577602649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 121577602649 in words is "one hundred twenty-one billion, five hundred seventy-seven million, six hundred two thousand, six hundred forty-nine".