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314240441121221 is a prime number
BaseRepresentation
bin100011101110011001100110…
…1110111011111100111000101
31112012122002111122021001011112
41013130303031313133213011
5312142003410411334341
63032200022111014405
7123122060034015146
oct10734631567374705
91465562448231145
10314240441121221
119114369386623a
122b2b1a9bb0a405
1310645991c38a54
145785465d7dacd
15264e1ad2a0aeb
hex11dcccdddf9c5

314240441121221 has 2 divisors, whose sum is σ = 314240441121222. Its totient is φ = 314240441121220.

The previous prime is 314240441121199. The next prime is 314240441121241. The reversal of 314240441121221 is 122121144042413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298732715260996 + 15507725860225 = 17283886^2 + 3937985^2 .

It is a cyclic number.

It is not a de Polignac number, because 314240441121221 - 222 = 314240436926917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314240441121241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157120220560610 + 157120220560611.

It is an arithmetic number, because the mean of its divisors is an integer number (157120220560611).

Almost surely, 2314240441121221 is an apocalyptic number.

It is an amenable number.

314240441121221 is a deficient number, since it is larger than the sum of its proper divisors (1).

314240441121221 is an equidigital number, since it uses as much as digits as its factorization.

314240441121221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 314240441121221 its reverse (122121144042413), we get a palindrome (436361585163634).

The spelling of 314240441121221 in words is "three hundred fourteen trillion, two hundred forty billion, four hundred forty-one million, one hundred twenty-one thousand, two hundred twenty-one".