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82011121113 = 3112924213499
BaseRepresentation
bin100110001100000111…
…1100110010111011001
321211200111101121112010
41030120033212113121
52320424321333423
6101401514540133
75632212012315
oct1143017462731
9254614347463
1082011121113
113186515a149
1213a89437649
13796c9a40cc
143d7dccab45
1521eed2b693
hex13183e65d9

82011121113 has 8 divisors (see below), whose sum is σ = 109445020000. Its totient is φ = 54625651488.

The previous prime is 82011121051. The next prime is 82011121139. The reversal of 82011121113 is 31112111028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82011121113 - 28 = 82011120857 is a prime.

It is a super-2 number, since 2×820111211132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82011121113.

It is not an unprimeable number, because it can be changed into a prime (82011123113) 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 in 7 ways as a sum of consecutive naturals, for example, 12103363 + ... + 12110136.

It is an arithmetic number, because the mean of its divisors is an integer number (13680627500).

Almost surely, 282011121113 is an apocalyptic number.

It is an amenable number.

82011121113 is a deficient number, since it is larger than the sum of its proper divisors (27433898887).

82011121113 is a wasteful number, since it uses less digits than its factorization.

82011121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24214631.

The product of its (nonzero) digits is 96, while the sum is 21.

The spelling of 82011121113 in words is "eighty-two billion, eleven million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 1129 3387 24213499 72640497 27337040371 82011121113