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82008031153 is a prime number
BaseRepresentation
bin100110001100000001…
…1110011111110110001
321211200021120121220011
41030120003303332301
52320423023444103
6101401324414521
75632143522556
oct1143003637661
9254607517804
1082008031153
1131863439664
1213a883a7441
13796c161829
143d7d724a2d
1521ee91ad6d
hex13180f3fb1

82008031153 has 2 divisors, whose sum is σ = 82008031154. Its totient is φ = 82008031152.

The previous prime is 82008031139. The next prime is 82008031159. The reversal of 82008031153 is 35113080028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60156391824 + 21851639329 = 245268^2 + 147823^2 .

It is a cyclic number.

It is not a de Polignac number, because 82008031153 - 221 = 82005934001 is a prime.

It is not a weakly prime, because it can be changed into another prime (82008031159) 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, 41004015576 + 41004015577.

It is an arithmetic number, because the mean of its divisors is an integer number (41004015577).

Almost surely, 282008031153 is an apocalyptic number.

It is an amenable number.

82008031153 is a deficient number, since it is larger than the sum of its proper divisors (1).

82008031153 is an equidigital number, since it uses as much as digits as its factorization.

82008031153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 82008031153 in words is "eighty-two billion, eight million, thirty-one thousand, one hundred fifty-three".