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1823131097 is a prime number
BaseRepresentation
bin110110010101010…
…1100010111011001
311201001112122200222
41230222230113121
512213210143342
6500524005425
763115234004
oct15452542731
94631478628
101823131097
11856123417
1242a690875
1323092b6c8
141341b853b
15aa0c6ed2
hex6caac5d9

1823131097 has 2 divisors, whose sum is σ = 1823131098. Its totient is φ = 1823131096.

The previous prime is 1823131067. The next prime is 1823131109. The reversal of 1823131097 is 7901313281.

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., 1265651776 + 557479321 = 35576^2 + 23611^2 .

It is a cyclic number.

It is not a de Polignac number, because 1823131097 - 222 = 1818936793 is a prime.

It is not a weakly prime, because it can be changed into another prime (1823131027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 911565548 + 911565549.

It is an arithmetic number, because the mean of its divisors is an integer number (911565549).

Almost surely, 21823131097 is an apocalyptic number.

It is an amenable number.

1823131097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1823131097 is an equidigital number, since it uses as much as digits as its factorization.

1823131097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 1823131097 is about 42698.1392685911. The cubic root of 1823131097 is about 1221.6289038561.

The spelling of 1823131097 in words is "one billion, eight hundred twenty-three million, one hundred thirty-one thousand, ninety-seven".