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314420121110089 is a prime number
BaseRepresentation
bin100011101111101101010001…
…1101000010000011001001001
31112020021021021211212012200001
41013133122203220100121021
5312202424402001010324
63032414335400443001
7123141050465512201
oct10737324350203111
91466237254765601
10314420121110089
11912029084a6305
122b320886479461
13106598c8496ca7
14579002d477401
152653bc7845e44
hex11df6a3a10649

314420121110089 has 2 divisors, whose sum is σ = 314420121110090. Its totient is φ = 314420121110088.

The previous prime is 314420121109933. The next prime is 314420121110159. The reversal of 314420121110089 is 980011121024413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271542939673600 + 42877181436489 = 16478560^2 + 6548067^2 .

It is a cyclic number.

It is not a de Polignac number, because 314420121110089 - 219 = 314420120585801 is a prime.

It is not a weakly prime, because it can be changed into another prime (314420121110789) 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, 157210060555044 + 157210060555045.

It is an arithmetic number, because the mean of its divisors is an integer number (157210060555045).

Almost surely, 2314420121110089 is an apocalyptic number.

It is an amenable number.

314420121110089 is a deficient number, since it is larger than the sum of its proper divisors (1).

314420121110089 is an equidigital number, since it uses as much as digits as its factorization.

314420121110089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 314420121110089 in words is "three hundred fourteen trillion, four hundred twenty billion, one hundred twenty-one million, one hundred ten thousand, eighty-nine".