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83387321993 is a prime number
BaseRepresentation
bin100110110101001000…
…1011000111010001001
321222020101221212020002
41031222101120322021
52331234123300433
6102150235412345
76011262353633
oct1155221307211
9258211855202
1083387321993
1132400a73248
12141b22b40b5
137b2bb3c161
1440709a5a53
152280a6e9e8
hex136a458e89

83387321993 has 2 divisors, whose sum is σ = 83387321994. Its totient is φ = 83387321992.

The previous prime is 83387321977. The next prime is 83387322061. The reversal of 83387321993 is 39912378338.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83245521529 + 141800464 = 288523^2 + 11908^2 .

It is a cyclic number.

It is not a de Polignac number, because 83387321993 - 24 = 83387321977 is a prime.

It is a super-2 number, since 2×833873219932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83387321903) 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, 41693660996 + 41693660997.

It is an arithmetic number, because the mean of its divisors is an integer number (41693660997).

Almost surely, 283387321993 is an apocalyptic number.

It is an amenable number.

83387321993 is a deficient number, since it is larger than the sum of its proper divisors (1).

83387321993 is an equidigital number, since it uses as much as digits as its factorization.

83387321993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5878656, while the sum is 56.

The spelling of 83387321993 in words is "eighty-three billion, three hundred eighty-seven million, three hundred twenty-one thousand, nine hundred ninety-three".