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317106822101 is a prime number
BaseRepresentation
bin1001001110101010000…
…10100001101111010101
31010022111201102122000212
410213111002201233111
520143413321301401
6401402111415205
731624126341266
oct4472502415725
91108451378025
10317106822101
11112536596a03
125155a524505
1323b97cb3a54
14114c30aa96d
1583ae436dbb
hex49d50a1bd5

317106822101 has 2 divisors, whose sum is σ = 317106822102. Its totient is φ = 317106822100.

The previous prime is 317106822091. The next prime is 317106822157. The reversal of 317106822101 is 101228601713.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 297303015025 + 19803807076 = 545255^2 + 140726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-317106822101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (317106822191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158553411050 + 158553411051.

It is an arithmetic number, because the mean of its divisors is an integer number (158553411051).

Almost surely, 2317106822101 is an apocalyptic number.

It is an amenable number.

317106822101 is a deficient number, since it is larger than the sum of its proper divisors (1).

317106822101 is an equidigital number, since it uses as much as digits as its factorization.

317106822101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 317106822101 in words is "three hundred seventeen billion, one hundred six million, eight hundred twenty-two thousand, one hundred one".