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819683141 is a prime number
BaseRepresentation
bin110000110110110…
…101111101000101
32010010101012212212
4300312311331011
53134314330031
6213200353205
726212122524
oct6066657505
92103335785
10819683141
11390765092
121aa615805
13100a85014
147ac104bb
154be6412b
hex30db5f45

819683141 has 2 divisors, whose sum is σ = 819683142. Its totient is φ = 819683140.

The previous prime is 819683093. The next prime is 819683191. The reversal of 819683141 is 141386918.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 819676900 + 6241 = 28630^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 819683141 - 218 = 819420997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (819683191) 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, 409841570 + 409841571.

It is an arithmetic number, because the mean of its divisors is an integer number (409841571).

Almost surely, 2819683141 is an apocalyptic number.

It is an amenable number.

819683141 is a deficient number, since it is larger than the sum of its proper divisors (1).

819683141 is an equidigital number, since it uses as much as digits as its factorization.

819683141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 41.

The square root of 819683141 is about 28630.1089938547. The cubic root of 819683141 is about 935.8695870639.

The spelling of 819683141 in words is "eight hundred nineteen million, six hundred eighty-three thousand, one hundred forty-one".