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83653131241 is a prime number
BaseRepresentation
bin100110111101000011…
…1010111101111101001
321222220221010100222001
41031322013113233221
52332310200144431
6102232452531001
76021000612001
oct1157207275751
9258827110861
1083653131241
1132528014709
1214267320a61
137b71c28634
144097dd9001
152299077e61
hex137a1d7be9

83653131241 has 2 divisors, whose sum is σ = 83653131242. Its totient is φ = 83653131240.

The previous prime is 83653131223. The next prime is 83653131313. The reversal of 83653131241 is 14213135638.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80204505616 + 3448625625 = 283204^2 + 58725^2 .

It is a cyclic number.

It is not a de Polignac number, because 83653131241 - 27 = 83653131113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83653131241.

It is not a weakly prime, because it can be changed into another prime (83653131841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41826565620 + 41826565621.

It is an arithmetic number, because the mean of its divisors is an integer number (41826565621).

Almost surely, 283653131241 is an apocalyptic number.

It is an amenable number.

83653131241 is a deficient number, since it is larger than the sum of its proper divisors (1).

83653131241 is an equidigital number, since it uses as much as digits as its factorization.

83653131241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 37.

Adding to 83653131241 its reverse (14213135638), we get a palindrome (97866266879).

The spelling of 83653131241 in words is "eighty-three billion, six hundred fifty-three million, one hundred thirty-one thousand, two hundred forty-one".