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303213312121969 is a prime number
BaseRepresentation
bin100010011110001010101100…
…1110000101001110001110001
31110202120220120001121102010001
41010330111121300221301301
5304220321330400400334
62552514134514510001
7120603303352033324
oct10474253160516161
91422526501542101
10303213312121969
1188682052a35697
122a010930895301
1310025b7b1a9022
1454c38617c67bb
15250c41a07e714
hex113c559c29c71

303213312121969 has 2 divisors, whose sum is σ = 303213312121970. Its totient is φ = 303213312121968.

The previous prime is 303213312121913. The next prime is 303213312122051. The reversal of 303213312121969 is 969121213312303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212314478130225 + 90898833991744 = 14571015^2 + 9534088^2 .

It is a cyclic number.

It is not a de Polignac number, because 303213312121969 - 215 = 303213312089201 is a prime.

It is a super-2 number, since 2×3032133121219692 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (303313312121969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151606656060984 + 151606656060985.

It is an arithmetic number, because the mean of its divisors is an integer number (151606656060985).

Almost surely, 2303213312121969 is an apocalyptic number.

It is an amenable number.

303213312121969 is a deficient number, since it is larger than the sum of its proper divisors (1).

303213312121969 is an equidigital number, since it uses as much as digits as its factorization.

303213312121969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 46.

The spelling of 303213312121969 in words is "three hundred three trillion, two hundred thirteen billion, three hundred twelve million, one hundred twenty-one thousand, nine hundred sixty-nine".