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121331002993 is a prime number
BaseRepresentation
bin111000011111111100…
…1000010111001110001
3102121011202200120100121
41300333321002321301
53441441214043433
6131423320250241
711523460336414
oct1607771027161
9377152616317
10121331002993
11475022083a2
121b621610981
13b597b889c5
145c30017b7b
153251c6bc2d
hex1c3fe42e71

121331002993 has 2 divisors, whose sum is σ = 121331002994. Its totient is φ = 121331002992.

The previous prime is 121331002987. The next prime is 121331003047. The reversal of 121331002993 is 399200133121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79982627344 + 41348375649 = 282812^2 + 203343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121331002993 is a prime.

It is not a weakly prime, because it can be changed into another prime (121331002963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60665501496 + 60665501497.

It is an arithmetic number, because the mean of its divisors is an integer number (60665501497).

Almost surely, 2121331002993 is an apocalyptic number.

It is an amenable number.

121331002993 is a deficient number, since it is larger than the sum of its proper divisors (1).

121331002993 is an equidigital number, since it uses as much as digits as its factorization.

121331002993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 121331002993 in words is "one hundred twenty-one billion, three hundred thirty-one million, two thousand, nine hundred ninety-three".