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9182819100401 is a prime number
BaseRepresentation
bin1000010110100000101010…
…1010111010011011110001
31012111212110110012101022222
42011220022222322123301
52200422403142203101
631310310122210425
71635302550325052
oct205501252723361
935455413171288
109182819100401
112a20458a94151
121043837653a15
13517c2288b28b
1423a645078729
1510dced64401b
hex85a0aaba6f1

9182819100401 has 2 divisors, whose sum is σ = 9182819100402. Its totient is φ = 9182819100400.

The previous prime is 9182819100373. The next prime is 9182819100479. The reversal of 9182819100401 is 1040019182819.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6356066223376 + 2826752877025 = 2521124^2 + 1681295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9182819100401 is a prime.

It is not a weakly prime, because it can be changed into another prime (9182819108401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4591409550200 + 4591409550201.

It is an arithmetic number, because the mean of its divisors is an integer number (4591409550201).

Almost surely, 29182819100401 is an apocalyptic number.

It is an amenable number.

9182819100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

9182819100401 is an equidigital number, since it uses as much as digits as its factorization.

9182819100401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 44.

The spelling of 9182819100401 in words is "nine trillion, one hundred eighty-two billion, eight hundred nineteen million, one hundred thousand, four hundred one".