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110010110010 = 235191011939901
BaseRepresentation
bin110011001110100011…
…1010001000000111010
3101111221210102121200220
41212131013101000322
53300300042010020
6122312110240510
710643103335463
oct1463507210072
9344853377626
10110010110010
1142722925999
12193a21b6136
13a4b2629868
145478695d6a
152cdce43240
hex199d1d103a

110010110010 has 128 divisors (see below), whose sum is σ = 282154717440. Its totient is φ = 27371520000.

The previous prime is 110010109987. The next prime is 110010110039. The reversal of 110010110010 is 10011010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11106060 + ... + 11115960.

It is an arithmetic number, because the mean of its divisors is an integer number (2204333730).

Almost surely, 2110010110010 is an apocalyptic number.

110010110010 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 110010110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141077358720).

110010110010 is an abundant number, since it is smaller than the sum of its proper divisors (172144607430).

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

110010110010 is a wasteful number, since it uses less digits than its factorization.

110010110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110010110010 its reverse (10011010011), we get a palindrome (120021120021).

Subtracting from 110010110010 its reverse (10011010011), we obtain a palindrome (99999099999).

It can be divided in two parts, 1100101 and 10010, that added together give a palindrome (1110111).

The spelling of 110010110010 in words is "one hundred ten billion, ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 101 114 190 193 202 285 303 386 505 570 579 606 965 1010 1158 1515 1919 1930 2895 3030 3667 3838 5757 5790 7334 9595 9901 11001 11514 18335 19190 19493 19802 22002 28785 29703 36670 38986 49505 55005 57570 58479 59406 97465 99010 110010 116958 148515 188119 194930 292395 297030 370367 376238 564357 584790 740734 940595 1000001 1111101 1128714 1851835 1881190 1910893 2000002 2222202 2821785 3000003 3703670 3821786 5000005 5555505 5643570 5732679 6000006 9554465 10000010 11111010 11465358 15000015 19000019 19108930 28663395 30000030 36306967 38000038 57000057 57326790 72613934 95000095 108920901 114000114 181534835 190000190 193000193 217841802 285000285 363069670 386000386 544604505 570000570 579000579 965000965 1089209010 1158001158 1930001930 2895002895 3667003667 5790005790 7334007334 11001011001 18335018335 22002022002 36670036670 55005055005 110010110010