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99000099000099 = 33111952579333667
BaseRepresentation
bin10110100000101001000001…
…101110111100111100100011
3110222112022120010011211102000
4112200221001232330330203
5100434004200321000344
6550320003450055043
726565343512652233
oct2640510156747443
9428468503154360
1099000099000099
11295a9784a5a550
12b12aa70a1a483
134331891530a5b
141a638b79b9cc3
15b6a346ab1a69
hex5a0a41bbcf23

99000099000099 has 64 divisors (see below), whose sum is σ = 168424929024000. Its totient is φ = 56840910671520.

The previous prime is 99000099000079. The next prime is 99000099000193.

99000099000099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99000099000099 - 229 = 98999562129187 is a prime.

99000099000099 is a modest number, since divided by 99000099 gives 99 as remainder.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99000099000079) 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 in 63 ways as a sum of consecutive naturals, for example, 296536464 + ... + 296870130.

It is an arithmetic number, because the mean of its divisors is an integer number (2631639516000).

Almost surely, 299000099000099 is an apocalyptic number.

99000099000099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99000099000099 is a deficient number, since it is larger than the sum of its proper divisors (69424830023901).

99000099000099 is a wasteful number, since it uses less digits than its factorization.

99000099000099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386285 (or 386279 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The spelling of 99000099000099 in words is "ninety-nine trillion, ninety-nine million, ninety-nine", and thus it is an aban number and an uban number.

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 52579 157737 333667 473211 578369 999001 1001001 1419633 1735107 2997003 3003003 3670337 5205321 6339673 8991009 9009009 10989011 11011011 15615963 19019019 26973027 32967033 33033033 57057057 69736403 98901099 99099099 171171171 209209209 296703297 627627627 1882882881 17543877193 52631631579 157894894737 192982649123 333333666667 473684684211 578947947369 1000001000001 1736843842107 3000003000003 3666670333337 5210531526321 9000009000009 11000011000011 33000033000033 99000099000099