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2801159041 is a prime number
BaseRepresentation
bin1010011011110110…
…0100101110000001
321020012212121211011
42212331210232001
521214044042131
61141542320521
7126262313302
oct24675445601
97205777734
102801159041
1112081aa27a
12662129141
13358444975
141c80467a9
15115db80b1
hexa6f64b81

2801159041 has 2 divisors, whose sum is σ = 2801159042. Its totient is φ = 2801159040.

The previous prime is 2801158967. The next prime is 2801159089. The reversal of 2801159041 is 1409511082.

It is a happy number.

2801159041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1690936641 + 1110222400 = 41121^2 + 33320^2 .

It is a cyclic number.

It is not a de Polignac number, because 2801159041 - 223 = 2792770433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2801158994 and 2801159012.

It is not a weakly prime, because it can be changed into another prime (2801129041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1400579520 + 1400579521.

It is an arithmetic number, because the mean of its divisors is an integer number (1400579521).

Almost surely, 22801159041 is an apocalyptic number.

It is an amenable number.

2801159041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2801159041 is an equidigital number, since it uses as much as digits as its factorization.

2801159041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 2801159041 is about 52925.9769961784. The cubic root of 2801159041 is about 1409.6541983507.

The spelling of 2801159041 in words is "two billion, eight hundred one million, one hundred fifty-nine thousand, forty-one".