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312231021097 is a prime number
BaseRepresentation
bin1001000101100100110…
…10110100101000101001
31002211220220202021110111
410202302122310220221
520103422120133342
6355234214214321
731362242614102
oct4426232645051
91084826667414
10312231021097
111104642a94a6
12506196543a1
132359babc3b8
141117d6d93a9
1581c6365217
hex48b26b4a29

312231021097 has 2 divisors, whose sum is σ = 312231021098. Its totient is φ = 312231021096.

The previous prime is 312231021059. The next prime is 312231021107. The reversal of 312231021097 is 790120132213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256533133081 + 55697888016 = 506491^2 + 236004^2 .

It is an emirp because it is prime and its reverse (790120132213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312231021097 is a prime.

It is not a weakly prime, because it can be changed into another prime (312231021017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156115510548 + 156115510549.

It is an arithmetic number, because the mean of its divisors is an integer number (156115510549).

Almost surely, 2312231021097 is an apocalyptic number.

It is an amenable number.

312231021097 is a deficient number, since it is larger than the sum of its proper divisors (1).

312231021097 is an equidigital number, since it uses as much as digits as its factorization.

312231021097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 312231021097 in words is "three hundred twelve billion, two hundred thirty-one million, twenty-one thousand, ninety-seven".