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312014100329 is a prime number
BaseRepresentation
bin1001000101001010111…
…11010101011101101001
31002211100210120120002222
410202211133111131221
520103001102202304
6355200505003425
731354000044041
oct4424537253551
91084323516088
10312014100329
11110362909738
1250578a83575
1323565b8c409
141115c990721
1581b22b74be
hex48a57d5769

312014100329 has 2 divisors, whose sum is σ = 312014100330. Its totient is φ = 312014100328.

The previous prime is 312014100317. The next prime is 312014100439. The reversal of 312014100329 is 923001410213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201425928025 + 110588172304 = 448805^2 + 332548^2 .

It is a cyclic number.

It is not a de Polignac number, because 312014100329 - 216 = 312014034793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312014100298 and 312014100307.

It is not a weakly prime, because it can be changed into another prime (312014103329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156007050164 + 156007050165.

It is an arithmetic number, because the mean of its divisors is an integer number (156007050165).

Almost surely, 2312014100329 is an apocalyptic number.

It is an amenable number.

312014100329 is a deficient number, since it is larger than the sum of its proper divisors (1).

312014100329 is an equidigital number, since it uses as much as digits as its factorization.

312014100329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 312014100329 in words is "three hundred twelve billion, fourteen million, one hundred thousand, three hundred twenty-nine".