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99909990999 = 347133729901
BaseRepresentation
bin101110100001100011…
…0010111101001010111
3100112212220021102010000
41131003012113221113
53114103424202444
6113521545502343
710134601624410
oct1350306275127
9315786242100
1099909990999
113940a648aa5
12174437a19b3
139562c86690
144b9b110807
1528eb3aa469
hex1743197a57

99909990999 has 120 divisors (see below), whose sum is σ = 188808008928. Its totient is φ = 51270278400.

The previous prime is 99909990989. The next prime is 99909991007.

99909990999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99909990999 - 212 = 99909986903 is a prime.

It is a super-2 number, since 2×999099909992 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

99909990999 is a modest number, since divided by 9990999 gives 999 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99909990989) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10085949 + ... + 10095849.

Almost surely, 299909990999 is an apocalyptic number.

99909990999 is a deficient number, since it is larger than the sum of its proper divisors (88898017929).

99909990999 is a wasteful number, since it uses less digits than its factorization.

99909990999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10007 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 387420489, while the sum is 81.

The spelling of 99909990999 in words is "ninety-nine billion, nine hundred nine million, nine hundred ninety thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 13 21 27 37 39 63 81 91 111 117 189 259 273 333 351 481 567 777 819 999 1053 1369 1443 2331 2457 2997 3367 4107 4329 6993 7371 9583 9901 10101 12321 12987 17797 20979 28749 29703 30303 36963 38961 53391 69307 86247 89109 90909 110889 124579 128713 160173 207921 258741 267327 272727 366337 373737 386139 480519 623763 776223 801981 900991 1099011 1121211 1158417 1441557 1871289 2564359 2702973 3297033 3363633 3475251 4762381 5613867 7693077 8108919 9891099 10090899 10425753 13554469 14287143 23079231 24326757 29673297 33336667 40663407 42861429 69237693 72980271 94881283 100010001 121990221 128584287 176208097 207713079 284643849 300030003 365970663 385752861 528624291 853931547 900090009 1097911989 1233456679 1585872873 2561794641 2700270027 3700370037 4757618619 7685383923 11101110111 14272855857 33303330333 99909990999