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99900999900999 = 321112492447333013
BaseRepresentation
bin10110101101110000000011…
…100111001001111101000111
3111002201102221110011102100100
4112231300003213021331013
5101043234221433312444
6552245515155015143
730020415623163063
oct2655600347117507
9432642843142310
1099900999900999
112991685a037540
12b25559689a4b3
13439881583a5cb
141a9533c8b4aa3
15b839c3246e69
hex5adc039c9f47

99900999900999 has 48 divisors (see below), whose sum is σ = 157557004020000. Its totient is φ = 60493280440320.

The previous prime is 99900999900991. The next prime is 99900999901039.

99900999900999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99900999900999 - 23 = 99900999900991 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99900999900991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3026094417 + ... + 3026127429.

It is an arithmetic number, because the mean of its divisors is an integer number (3282437583750).

Almost surely, 299900999900999 is an apocalyptic number.

99900999900999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99900999900999 is a deficient number, since it is larger than the sum of its proper divisors (57656004119001).

99900999900999 is a wasteful number, since it uses less digits than its factorization.

99900999900999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58752 (or 58749 counting only the distinct ones).

The product of its (nonzero) digits is 3486784401, while the sum is 90.

The spelling of 99900999900999 in words is "ninety-nine trillion, nine hundred billion, nine hundred ninety-nine million, nine hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 99 1249 3747 11241 13739 24473 33013 41217 73419 99039 123651 220257 269203 297117 363143 807609 1089429 2422827 3268287 30566777 41233237 91700331 123699711 275100993 336234547 371099133 453565607 807927149 1008703641 1360696821 2423781447 3026110923 4082090463 7271344341 8887198639 26661595917 79984787751 1009101009101 3027303027303 9081909081909 11100111100111 33300333300333 99900999900999