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990099990099 = 3211731011379901
BaseRepresentation
bin11100110100001101000…
…11101110011001010011
310111122121202210210222200
432122012203232121103
5112210211044140344
62034502354534243
7131350413025263
oct16320643563123
93448552723880
10990099990099
113519986a5a30
1213ba7a597383
137249b21a50c
1435cc76b17a3
151ab4c55a069
hexe6868ee653

990099990099 has 96 divisors (see below), whose sum is σ = 1609009092288. Its totient is φ = 581644800000.

The previous prime is 990099990091. The next prime is 990099990151.

990099990099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 990099990099 - 23 = 990099990091 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (990099990091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99995049 + ... + 100004949.

It is an arithmetic number, because the mean of its divisors is an integer number (16760511378).

Almost surely, 2990099990099 is an apocalyptic number.

990099990099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

990099990099 is a deficient number, since it is larger than the sum of its proper divisors (618909102189).

990099990099 is a wasteful number, since it uses less digits than its factorization.

990099990099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10229 (or 10226 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, 9900 and 99990099, that added together give a palindrome (99999999).

The spelling of 990099990099 in words is "nine hundred ninety billion, ninety-nine million, nine hundred ninety thousand, ninety-nine".

Divisors: 1 3 9 11 33 73 99 101 137 219 303 411 657 803 909 1111 1233 1507 2409 3333 4521 7227 7373 9901 9999 10001 13563 13837 22119 29703 30003 41511 66357 81103 89109 90009 108911 110011 124533 152207 243309 326733 330033 456621 722773 729927 980199 990099 1000001 1010101 1356437 1369863 2168319 3000003 3030303 4069311 6504957 7950503 9000009 9090909 11000011 11111111 12207933 14920807 23851509 33000033 33333333 44762421 71554527 73000073 99000099 99019901 99999999 134287263 137000137 219000219 297059703 411000411 657000657 803000803 891179109 1089218911 1233001233 1507001507 2409002409 3267656733 4521004521 7227007227 9802970199 10001010001 13563013563 30003030003 90009090009 110011110011 330033330033 990099990099