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2080100041 is a prime number
BaseRepresentation
bin111101111111011…
…1100111011001001
312100222002000211021
41323332330323021
513230001200131
6542223432441
7102355362415
oct17376747311
95328060737
102080100041
11978186a48
124a0755721
13271c41136
1415a389d45
15c2935e11
hex7bfbcec9

2080100041 has 2 divisors, whose sum is σ = 2080100042. Its totient is φ = 2080100040.

The previous prime is 2080100039. The next prime is 2080100117. The reversal of 2080100041 is 1400010802.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1101974416 + 978125625 = 33196^2 + 31275^2 .

It is a cyclic number.

It is not a de Polignac number, because 2080100041 - 21 = 2080100039 is a prime.

Together with 2080100039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2080099988 and 2080100024.

It is not a weakly prime, because it can be changed into another prime (2080100641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1040050020 + 1040050021.

It is an arithmetic number, because the mean of its divisors is an integer number (1040050021).

Almost surely, 22080100041 is an apocalyptic number.

It is an amenable number.

2080100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2080100041 is an equidigital number, since it uses as much as digits as its factorization.

2080100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2080100041 is about 45608.1137627944. The cubic root of 2080100041 is about 1276.5213245757.

Adding to 2080100041 its reverse (1400010802), we get a palindrome (3480110843).

The spelling of 2080100041 in words is "two billion, eighty million, one hundred thousand, forty-one".