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312133303049 is a prime number
BaseRepresentation
bin1001000101011001001…
…10000011101100001001
31002211200002212200111112
410202230212003230021
520103222111144144
6355220403540105
731356645204611
oct4425446035411
91084602780445
10312133303049
11110414126487
12505b098a635
1323584797479
141117073da41
1581bc9b199e
hex48ac983b09

312133303049 has 2 divisors, whose sum is σ = 312133303050. Its totient is φ = 312133303048.

The previous prime is 312133302967. The next prime is 312133303081. The reversal of 312133303049 is 940303331213.

It is an a-pointer prime, because the next prime (312133303081) can be obtained adding 312133303049 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167833605625 + 144299697424 = 409675^2 + 379868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312133303049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312133303549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066651524 + 156066651525.

It is an arithmetic number, because the mean of its divisors is an integer number (156066651525).

Almost surely, 2312133303049 is an apocalyptic number.

It is an amenable number.

312133303049 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133303049 is an equidigital number, since it uses as much as digits as its factorization.

312133303049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 312133303049 in words is "three hundred twelve billion, one hundred thirty-three million, three hundred three thousand, forty-nine".