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312202202100973 is a prime number
BaseRepresentation
bin100011011111100100011110…
…1010110101011010011101101
31111221102020110020221200210021
41012333020331112223103231
5311410110102214212343
63023555413415042141
7122521602416136052
oct10677107526532355
91457366406850707
10312202202100973
1190528234a9a588
122b022a65970351
13105287063cc5a2
14571494ab5d029
1526161681d80ed
hex11bf23d5ab4ed

312202202100973 has 2 divisors, whose sum is σ = 312202202100974. Its totient is φ = 312202202100972.

The previous prime is 312202202100949. The next prime is 312202202101091. The reversal of 312202202100973 is 379001202202213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260120028728169 + 52082173372804 = 16128237^2 + 7216798^2 .

It is a cyclic number.

It is not a de Polignac number, because 312202202100973 - 221 = 312202200003821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312202202100913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101101050486 + 156101101050487.

It is an arithmetic number, because the mean of its divisors is an integer number (156101101050487).

Almost surely, 2312202202100973 is an apocalyptic number.

It is an amenable number.

312202202100973 is a deficient number, since it is larger than the sum of its proper divisors (1).

312202202100973 is an equidigital number, since it uses as much as digits as its factorization.

312202202100973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 312202202100973 in words is "three hundred twelve trillion, two hundred two billion, two hundred two million, one hundred thousand, nine hundred seventy-three".