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109143417082657 is a prime number
BaseRepresentation
bin11000110100001111101110…
…100110101101001100100001
3112022110000020101200000120011
4120310033232212231030201
5103301201204233121112
61024043443231044521
731663231423043116
oct3064175646551441
9468400211600504
10109143417082657
113185a5106421a1
12102a8885670741
1348b92457c2009
141cd47d8c9c90d
15c9410db9baa7
hex6343ee9ad321

109143417082657 has 2 divisors, whose sum is σ = 109143417082658. Its totient is φ = 109143417082656.

The previous prime is 109143417082627. The next prime is 109143417082697. The reversal of 109143417082657 is 756280714341901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106313751452736 + 2829665629921 = 10310856^2 + 1682161^2 .

It is a cyclic number.

It is not a de Polignac number, because 109143417082657 - 219 = 109143416558369 is a prime.

It is a super-3 number, since 3×1091434170826573 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (109143417082627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54571708541328 + 54571708541329.

It is an arithmetic number, because the mean of its divisors is an integer number (54571708541329).

It is a 1-persistent number, because it is pandigital, but 2⋅109143417082657 = 218286834165314 is not.

Almost surely, 2109143417082657 is an apocalyptic number.

It is an amenable number.

109143417082657 is a deficient number, since it is larger than the sum of its proper divisors (1).

109143417082657 is an equidigital number, since it uses as much as digits as its factorization.

109143417082657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 109143417082657 in words is "one hundred nine trillion, one hundred forty-three billion, four hundred seventeen million, eighty-two thousand, six hundred fifty-seven".