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9090990909 = 3371113379091
BaseRepresentation
bin10000111011101110…
…11000001100111101
3212110120022012002000
420131313120030331
5122104243202114
64102031252513
7441166101450
oct103567301475
925416265060
109090990909
11394569a030
12191867a139
13b1b58b280
1462353d497
153831a1e09
hex21ddd833d

9090990909 has 128 divisors (see below), whose sum is σ = 18573864960. Its totient is φ = 4241030400.

The previous prime is 9090990893. The next prime is 9090990929.

9090990909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9090990909 - 24 = 9090990893 is a prime.

It is a super-2 number, since 2×90909909092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090990929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 995454 + ... + 1004544.

It is an arithmetic number, because the mean of its divisors is an integer number (145108320).

Almost surely, 29090990909 is an apocalyptic number.

9090990909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9090990909 is an abundant number, since it is smaller than the sum of its proper divisors (9482874051).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9090990909 is a wasteful number, since it uses less digits than its factorization.

9090990909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168 (or 9162 counting only the distinct ones).

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

The square root of 9090990909 is about 95346.6879812823. The cubic root of 9090990909 is about 2087.0702835896.

It can be divided in two parts, 9090 and 990909, that added together give a palindrome (999999).

The spelling of 9090990909 in words is "nine billion, ninety million, nine hundred ninety thousand, nine hundred nine".

Divisors: 1 3 7 9 11 13 21 27 33 37 39 63 77 91 99 111 117 143 189 231 259 273 297 333 351 407 429 481 693 777 819 999 1001 1221 1287 1443 2079 2331 2457 2849 3003 3367 3663 3861 4329 5291 6993 8547 9009 9091 10101 10989 12987 15873 25641 27027 27273 30303 37037 47619 63637 76923 81819 90909 100001 111111 118183 142857 190911 245457 300003 333333 336367 354549 572733 700007 827281 900009 999999 1009101 1063647 1300013 1718199 2100021 2354569 2481843 2700027 3027303 3190941 3700037 3900039 4372771 6300063 7063707 7445529 9081909 9100091 11100111 11700117 13118313 18900189 21191121 22336587 25900259 27300273 30609397 33300333 35100351 39354939 48100481 63573363 77700777 81900819 91828191 99900999 118064817 144301443 233102331 245702457 275484573 336703367 432904329 699306993 826453719 1010110101 1298712987 3030330303 9090990909