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314143203213331 is a prime number
BaseRepresentation
bin100011101101101100010101…
…0000010010100000000010011
31112012021210111221222111222121
41013123120222002110000103
5312133410240010311311
63032043221213115111
7123112045266312262
oct10733305202240023
91465253457874877
10314143203213331
1191106425576898
122b297083188a97
131063976674304b
14578087dab65d9
15264b8bb7b3b71
hex11db62a094013

314143203213331 has 2 divisors, whose sum is σ = 314143203213332. Its totient is φ = 314143203213330.

The previous prime is 314143203213187. The next prime is 314143203213361. The reversal of 314143203213331 is 133312302341413.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 314143203213331 - 227 = 314143068995603 is a prime.

It is a super-3 number, since 3×3141432032133313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (314143203213361) 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, 157071601606665 + 157071601606666.

It is an arithmetic number, because the mean of its divisors is an integer number (157071601606666).

Almost surely, 2314143203213331 is an apocalyptic number.

314143203213331 is a deficient number, since it is larger than the sum of its proper divisors (1).

314143203213331 is an equidigital number, since it uses as much as digits as its factorization.

314143203213331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 314143203213331 its reverse (133312302341413), we get a palindrome (447455505554744).

The spelling of 314143203213331 in words is "three hundred fourteen trillion, one hundred forty-three billion, two hundred three million, two hundred thirteen thousand, three hundred thirty-one".