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85306003361 is a prime number
BaseRepresentation
bin100111101110010100…
…0100100111110100001
322011012010021222020222
41033130220210332201
52344201314101421
6103104455412425
76106651031105
oct1173450447641
9264163258228
1085306003361
11331a6018a27
1214648984115
1380764b3b87
1441b3733905
15234421ccab
hex13dca24fa1

85306003361 has 2 divisors, whose sum is σ = 85306003362. Its totient is φ = 85306003360.

The previous prime is 85306003357. The next prime is 85306003381. The reversal of 85306003361 is 16330060358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85264000000 + 42003361 = 292000^2 + 6481^2 .

It is a cyclic number.

It is not a de Polignac number, because 85306003361 - 22 = 85306003357 is a prime.

It is a super-2 number, since 2×853060033612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85306003351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42653001680 + 42653001681.

It is an arithmetic number, because the mean of its divisors is an integer number (42653001681).

Almost surely, 285306003361 is an apocalyptic number.

It is an amenable number.

85306003361 is a deficient number, since it is larger than the sum of its proper divisors (1).

85306003361 is an equidigital number, since it uses as much as digits as its factorization.

85306003361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 85306003361 in words is "eighty-five billion, three hundred six million, three thousand, three hundred sixty-one".