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314222011101 = 33112310363181
BaseRepresentation
bin1001001001010010001…
…01110110001011011101
31010001001200011001022000
410210221011312023131
520122011313323401
6400203540112513
731462500011505
oct4445105661335
91101050131260
10314222011101
11111296151789
1250a94395739
13238284306ab
14112cbccaa05
158291048186
hex49291762dd

314222011101 has 16 divisors (see below), whose sum is σ = 465928662720. Its totient is φ = 209294783280.

The previous prime is 314222011093. The next prime is 314222011109. The reversal of 314222011101 is 101110222413.

314222011101 is a `hidden beast` number, since 31 + 422 + 201 + 1 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (314222011093) and next prime (314222011109).

It is not a de Polignac number, because 314222011101 - 23 = 314222011093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314222011109) 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 in 15 ways as a sum of consecutive naturals, for example, 5151270 + ... + 5211911.

It is an arithmetic number, because the mean of its divisors is an integer number (29120541420).

Almost surely, 2314222011101 is an apocalyptic number.

It is an amenable number.

314222011101 is a deficient number, since it is larger than the sum of its proper divisors (151706651619).

314222011101 is a wasteful number, since it uses less digits than its factorization.

314222011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364313 (or 10364307 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 314222011101 its reverse (101110222413), we get a palindrome (415332233514).

The spelling of 314222011101 in words is "three hundred fourteen billion, two hundred twenty-two million, eleven thousand, one hundred one".

Divisors: 1 3 9 27 1123 3369 10107 30321 10363181 31089543 93268629 279805887 11637852263 34913556789 104740670367 314222011101