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9990099900999 = 34313722906161
BaseRepresentation
bin1001000101100000000001…
…0110110001101001000111
31022101001012020110010010000
42101120000112301221013
52302134211033312444
633125215531332343
72050521663033021
oct221300026615107
938331166403100
109990099900999
113201860a53119
1211541942b10b3
135760a707878a
14267748373011
15124ceac1a469
hex916005b1a47

9990099900999 has 60 divisors (see below), whose sum is σ = 15832491584448. Its totient is φ = 6271028294400.

The previous prime is 9990099900973. The next prime is 9990099901037.

9990099900999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9990099900999 - 27 = 9990099900871 is a prime.

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

9990099900999 is a modest number, since divided by 99900999 gives 999 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990099900919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1984479 + ... + 4890639.

Almost surely, 29990099900999 is an apocalyptic number.

9990099900999 is a deficient number, since it is larger than the sum of its proper divisors (5842391683449).

9990099900999 is a wasteful number, since it uses less digits than its factorization.

9990099900999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906278 (or 2906232 counting only the distinct ones).

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

The spelling of 9990099900999 in words is "nine trillion, nine hundred ninety billion, ninety-nine million, nine hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 9 27 31 37 81 93 111 279 333 837 999 1147 1369 2511 2997 3441 4107 10323 12321 30969 36963 42439 92907 110889 127317 381951 1145853 2906161 3437559 8718483 26155449 78466347 90090991 107527957 235399041 270272973 322583871 810818919 967751613 2432456757 2903254839 3333366667 3978534409 7297370271 8709764517 10000100001 11935603227 30000300003 35806809681 90000900009 107420429043 123334566679 270002700027 322261287129 370003700037 1110011100111 3330033300333 9990099900999