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1010009999 = 192910118149
BaseRepresentation
bin111100001100111…
…000011110001111
32121101111211020202
4330030320132033
54032030304444
6244120004115
734012641365
oct7414703617
92541454222
101010009999
11479140509
1224230063b
1313133346b
14981d5635
155da0c34e
hex3c33878f

1010009999 has 16 divisors (see below), whose sum is σ = 1110780000. Its totient is φ = 914659200.

The previous prime is 1010009993. The next prime is 1010010007. The reversal of 1010009999 is 9999000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1010009999 - 220 = 1008961423 is a prime.

It is a Duffinian number.

1010009999 is a modest number, since divided by 9999 gives 1010 as remainder.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010009993) 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 15 ways as a sum of consecutive naturals, for example, 46577 + ... + 64725.

It is an arithmetic number, because the mean of its divisors is an integer number (69423750).

Almost surely, 21010009999 is an apocalyptic number.

1010009999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1010009999 is a deficient number, since it is larger than the sum of its proper divisors (100770001).

1010009999 is a wasteful number, since it uses less digits than its factorization.

1010009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18298.

The product of its (nonzero) digits is 6561, while the sum is 38.

The square root of 1010009999 is about 31780.6544772130. The cubic root of 1010009999 is about 1003.3255944947.

The spelling of 1010009999 in words is "one billion, ten million, nine thousand, nine hundred ninety-nine".

Divisors: 1 19 29 101 551 1919 2929 18149 55651 344831 526321 1833049 10000099 34827931 53158421 1010009999