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312202012242277 is a prime number
BaseRepresentation
bin100011011111100100011001…
…0000010011011000101100101
31111221102012222000200212121201
41012333020302002123011211
5311410104210113223102
63023555342513442501
7122521564622310133
oct10677106202330545
91457365860625551
10312202012242277
1190528147903973
122b022a12270431
13105286a5c86271
14571492d85a753
1526161566d3987
hex11bf23209b165

312202012242277 has 2 divisors, whose sum is σ = 312202012242278. Its totient is φ = 312202012242276.

The previous prime is 312202012242229. The next prime is 312202012242317. The reversal of 312202012242277 is 772242210202213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168312247137441 + 143889765104836 = 12973521^2 + 11995406^2 .

It is a cyclic number.

It is not a de Polignac number, because 312202012242277 - 27 = 312202012242149 is a prime.

It is a super-2 number, since 2×3122020122422772 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312202012242377) 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, 156101006121138 + 156101006121139.

It is an arithmetic number, because the mean of its divisors is an integer number (156101006121139).

Almost surely, 2312202012242277 is an apocalyptic number.

It is an amenable number.

312202012242277 is a deficient number, since it is larger than the sum of its proper divisors (1).

312202012242277 is an equidigital number, since it uses as much as digits as its factorization.

312202012242277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 312202012242277 in words is "three hundred twelve trillion, two hundred two billion, twelve million, two hundred forty-two thousand, two hundred seventy-seven".