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82140973153 is a prime number
BaseRepresentation
bin100110001111111111…
…0111100100001100001
321212000112201210000221
41030133332330201201
52321211042120103
6101422434043041
75635346515561
oct1143776744141
9255015653027
1082140973153
113192148a988
1213b04a19481
13799086a435
143d9324cda1
15220b42b1bd
hex131ffbc861

82140973153 has 2 divisors, whose sum is σ = 82140973154. Its totient is φ = 82140973152.

The previous prime is 82140973051. The next prime is 82140973163. The reversal of 82140973153 is 35137904128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68679636624 + 13461336529 = 262068^2 + 116023^2 .

It is a cyclic number.

It is not a de Polignac number, because 82140973153 - 229 = 81604102241 is a prime.

It is a super-2 number, since 2×821409731532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82140973163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41070486576 + 41070486577.

It is an arithmetic number, because the mean of its divisors is an integer number (41070486577).

Almost surely, 282140973153 is an apocalyptic number.

It is an amenable number.

82140973153 is a deficient number, since it is larger than the sum of its proper divisors (1).

82140973153 is an equidigital number, since it uses as much as digits as its factorization.

82140973153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 82140973153 in words is "eighty-two billion, one hundred forty million, nine hundred seventy-three thousand, one hundred fifty-three".