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1813840241 is a prime number
BaseRepresentation
bin110110000011101…
…0000000101110001
311200102001122001012
41230013100011301
512203320341431
6455552520305
762643246653
oct15407200561
94612048035
101813840241
11850958024
12427550095
1322ba27865
14132c7a6d3
15a938e22b
hex6c1d0171

1813840241 has 2 divisors, whose sum is σ = 1813840242. Its totient is φ = 1813840240.

The previous prime is 1813840219. The next prime is 1813840247. The reversal of 1813840241 is 1420483181.

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., 955057216 + 858783025 = 30904^2 + 29305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1813840241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1813840198 and 1813840207.

It is not a weakly prime, because it can be changed into another prime (1813840247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 906920120 + 906920121.

It is an arithmetic number, because the mean of its divisors is an integer number (906920121).

Almost surely, 21813840241 is an apocalyptic number.

It is an amenable number.

1813840241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1813840241 is an equidigital number, since it uses as much as digits as its factorization.

1813840241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1813840241 is about 42589.2033384049. The cubic root of 1813840241 is about 1219.5501882471.

The spelling of 1813840241 in words is "one billion, eight hundred thirteen million, eight hundred forty thousand, two hundred forty-one".