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1001011100082 = 2371071271753889
BaseRepresentation
bin11101001000100001110…
…10010011100110110010
310112200210011222122001020
432210100322103212302
5112400032320200312
62043505205520310
7132214662650460
oct16442072234662
93480704878036
101001011100082
113565877403a4
12142004713096
13735198c1206
1436640843830
151b08a3db78c
hexe910e939b2

1001011100082 has 64 divisors (see below), whose sum is σ = 2327594434560. Its totient is φ = 281099137536.

The previous prime is 1001011100081. The next prime is 1001011100267. The reversal of 1001011100082 is 2800011101001.

It is not an unprimeable number, because it can be changed into a prime (1001011100081) 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 31 ways as a sum of consecutive naturals, for example, 306207 + ... + 1447682.

It is an arithmetic number, because the mean of its divisors is an integer number (36368663040).

Almost surely, 21001011100082 is an apocalyptic number.

1001011100082 is an abundant number, since it is smaller than the sum of its proper divisors (1326583334478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001011100082 is a wasteful number, since it uses less digits than its factorization.

1001011100082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754135.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1001011100082 its reverse (2800011101001), we get a palindrome (3801022201083).

The spelling of 1001011100082 in words is "one trillion, one billion, eleven million, one hundred thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 107 127 214 254 321 381 642 749 762 889 1498 1778 2247 2667 4494 5334 13589 27178 40767 81534 95123 190246 285369 570738 1753889 3507778 5261667 10523334 12277223 24554446 36831669 73663338 187666123 222743903 375332246 445487806 562998369 668231709 1125996738 1313662861 1336463418 1559207321 2627325722 3118414642 3940988583 4677621963 7881977166 9355243926 23833597621 47667195242 71500792863 143001585726 166835183347 333670366694 500505550041 1001011100082