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99009900990099 = 321117731375882353
BaseRepresentation
bin10110100000110010001001…
…111110100100111010010011
3110222120020212020100111212200
4112200302021332210322103
5100434134234123140344
6550324304240454243
726566141434335451
oct2640621176447223
9428506766314780
1099009900990099
1129602954a20730
12b13094761a383
1343327941ac938
141a641677179d1
15b6a71c3aa069
hex5a0c89fa4e93

99009900990099 has 96 divisors (see below), whose sum is σ = 168678242126784. Its totient is φ = 55295991152640.

The previous prime is 99009900990073. The next prime is 99009900990151.

99009900990099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99009900990099 - 25 = 99009900990067 is a prime.

99009900990099 is a modest number, since divided by 9900990099 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 (99009900990499) 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 95 ways as a sum of consecutive naturals, for example, 13890507 + ... + 19772859.

It is an arithmetic number, because the mean of its divisors is an integer number (1757065022154).

Almost surely, 299009900990099 is an apocalyptic number.

99009900990099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99009900990099 is a deficient number, since it is larger than the sum of its proper divisors (69668341136685).

99009900990099 is a wasteful number, since it uses less digits than its factorization.

99009900990099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882597 (or 5882594 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

It can be divided in two parts, 99009900 and 990099, that multiplied together give a square (98029602980100 = 99009902).

The spelling of 99009900990099 in words is "ninety-nine trillion, nine billion, nine hundred million, nine hundred ninety thousand, ninety-nine".

Divisors: 1 3 9 11 17 33 51 73 99 137 153 187 219 411 561 657 803 1233 1241 1507 1683 2329 2409 3723 4521 6987 7227 10001 11169 13563 13651 20961 25619 30003 40953 76857 90009 110011 122859 170017 230571 330033 510051 990099 1530153 1870187 5610561 5882353 16831683 17647059 52941177 64705883 100000001 194117649 300000003 429411769 582352947 805882361 900000009 1100000011 1288235307 2417647083 3300000033 3864705921 4723529459 7252941249 7300000073 8864705971 9900000099 13700000137 14170588377 21900000219 26594117913 41100000411 42511765131 58829412353 65700000657 79782353739 80300000803 123300001233 150700001507 176488237059 240900002409 452100004521 529464711177 647123535883 722700007227 1000100010001 1356300013563 1941370607649 3000300030003 5824111822947 9000900090009 11001100110011 33003300330033 99009900990099