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9090099900909 = 3217293544957793
BaseRepresentation
bin1000010001000111010000…
…1011001111000111101101
31012012000010200200000202100
42010101310023033013231
52142413011033312114
631155533444045313
71625511102202146
oct204216413170755
935160120600670
109090099900909
1129950a9463255
121029880093839
1350c2675bc621
14235d6ad8aacd
1510b6c36dd909
hex844742cf1ed

9090099900909 has 48 divisors (see below), whose sum is σ = 14382557046000. Its totient is φ = 5506665873408.

The previous prime is 9090099900901. The next prime is 9090099900911.

9090099900909 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 401547807684 + 8688552093225 = 633678^2 + 2947635^2 .

It is not a de Polignac number, because 9090099900909 - 23 = 9090099900901 is a prime.

It is a super-3 number, since 3×90900999009093 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090099900901) 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, 157258317 + ... + 157316109.

It is an arithmetic number, because the mean of its divisors is an integer number (299636605125).

Almost surely, 29090099900909 is an apocalyptic number.

It is an amenable number.

9090099900909 is a deficient number, since it is larger than the sum of its proper divisors (5292457145091).

9090099900909 is a wasteful number, since it uses less digits than its factorization.

9090099900909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93294 (or 93291 counting only the distinct ones).

The product of its (nonzero) digits is 4782969, while the sum is 63.

The spelling of 9090099900909 in words is "nine trillion, ninety billion, ninety-nine million, nine hundred thousand, nine hundred nine".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 35449 57793 106347 173379 319041 520137 602633 982481 1028021 1675997 1807899 2947443 3084063 5027991 5423697 8842329 9252189 15083973 17476357 28491949 52429071 85475847 157287213 256427541 2048704057 6146112171 18438336513 34827968969 59412417653 104483906907 178237252959 313451720721 534711758877 1010011100101 3030033300303 9090099900909