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990000000099 = 3211101354127961
BaseRepresentation
bin11100110100000001001…
…10010010110001100011
310111122100210122210111100
432122000212102301203
5112210010000000344
62034444423445443
7131345060104245
oct16320046226143
93448323583440
10990000000099
11351947210a70
1213ba50bb6883
13724835ab436
1435cb82c4095
151ab438a8569
hexe680992c63

990000000099 has 48 divisors (see below), whose sum is σ = 1575946820448. Its totient is φ = 593870400000.

The previous prime is 990000000089. The next prime is 990000000137.

990000000099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 990000000099 - 28 = 989999999843 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (990000000019) 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 47 ways as a sum of consecutive naturals, for example, 35392479 + ... + 35420439.

It is an arithmetic number, because the mean of its divisors is an integer number (32832225426).

Almost surely, 2990000000099 is an apocalyptic number.

990000000099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

990000000099 is a deficient number, since it is larger than the sum of its proper divisors (585946820349).

990000000099 is a wasteful number, since it uses less digits than its factorization.

990000000099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31620 (or 31617 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

It can be divided in two parts, 9900000000 and 99, that multiplied together give a square (980100000000 = 9900002).

The spelling of 990000000099 in words is "nine hundred ninety billion, ninety-nine", and thus it is an aban number.

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 3541 9999 10623 27961 31869 38951 83883 116853 251649 307571 350559 357641 922713 1072923 2768139 2824061 3218769 3934051 8472183 11802153 25416549 31064671 35406459 93194013 99009901 279582039 297029703 891089109 1089108911 3267326733 9801980199 10000000001 30000000003 90000000009 110000000011 330000000033 990000000099