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1100330010 = 2325134321871
BaseRepresentation
bin100000110010101…
…1011010000011010
32211200110120000100
41001211123100122
54223141030020
6301103520230
736160436133
oct10145332032
92750416010
101100330010
1151512024a
122685b9076
13146c67c60
14a61c6c8a
15668eda90
hex4195b41a

1100330010 has 96 divisors (see below), whose sum is σ = 3152717568. Its totient is φ = 264539520.

The previous prime is 1100330009. The next prime is 1100330047. The reversal of 1100330010 is 100330011.

It is a super-2 number, since 2×11003300102 = 2421452261813200200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100329974 and 1100330001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39375 + ... + 61245.

It is an arithmetic number, because the mean of its divisors is an integer number (32840808).

Almost surely, 21100330010 is an apocalyptic number.

1100330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576358784).

1100330010 is an abundant number, since it is smaller than the sum of its proper divisors (2052387558).

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

1100330010 is a wasteful number, since it uses less digits than its factorization.

1100330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21940 (or 21937 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1100330010 is about 33171.2226184083. Note that the first 3 decimals coincide. The cubic root of 1100330010 is about 1032.3833362743.

Adding to 1100330010 its reverse (100330011), we get a palindrome (1200660021).

Subtracting from 1100330010 its reverse (100330011), we obtain a palindrome (999999999).

The spelling of 1100330010 in words is "one billion, one hundred million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 8385 10062 16770 21871 25155 43742 50310 65613 109355 131226 196839 218710 284323 328065 393678 568646 656130 852969 940453 984195 1421615 1705938 1880906 1968390 2558907 2821359 2843230 4264845 4702265 5117814 5642718 8464077 8529690 9404530 12225889 12794535 14106795 16928154 24451778 25589070 28213590 36677667 42320385 61129445 73355334 84640770 110033001 122258890 183388335 220066002 366776670 550165005 1100330010