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110011110010100 = 225213179535223377
BaseRepresentation
bin11001000000110111110101…
…001000100010110011110100
3112102111221220101222202211122
4121000313311020202303310
5103404410223130310400
61025550223425523112
732113016601165545
oct3100676510426364
9472457811882748
10110011110010100
11320644a4687222
1210408a821a3498
134950006c35930
141d247cd68a4cc
15cab994c82685
hex640df5222cf4

110011110010100 has 144 divisors (see below), whose sum is σ = 272495983234608. Its totient is φ = 38189982351360.

The previous prime is 110011110010013. The next prime is 110011110010111. The reversal of 110011110010100 is 1010011110011.

It can be written as a sum of positive squares in 24 ways, for example, as 61319016777316 + 48692093232784 = 7830646^2 + 6977972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18449612 + ... + 23672988.

It is an arithmetic number, because the mean of its divisors is an integer number (1892333216907).

Almost surely, 2110011110010100 is an apocalyptic number.

110011110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110011110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136247991617304).

110011110010100 is an abundant number, since it is smaller than the sum of its proper divisors (162484873224508).

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

110011110010100 is a wasteful number, since it uses less digits than its factorization.

110011110010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224374 (or 5224367 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110011110010100 its reverse (1010011110011), we get a palindrome (111021121120111).

The spelling of 110011110010100 in words is "one hundred ten trillion, eleven billion, one hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 953 1105 1300 1700 1906 2210 3812 4420 4765 5525 9530 11050 12389 16201 19060 22100 23825 24778 32402 47650 49556 61945 64804 81005 95300 123890 162010 210613 247780 309725 324020 405025 421226 619450 810050 842452 1053065 1238900 1620100 2106130 4212260 5223377 5265325 10446754 10530650 20893508 21061300 26116885 52233770 67903901 88797409 104467540 130584425 135807802 177594818 261168850 271615604 339519505 355189636 443987045 522337700 679039010 887974090 1154366317 1358078020 1697597525 1775948180 2219935225 2308732634 3395195050 4439870450 4617465268 4977878281 5771831585 6790390100 8879740900 9955756562 11543663170 19911513124 23087326340 24889391405 28859157925 49778782810 57718315850 64712417653 84623930777 99557565620 115436631700 124446957025 129424835306 169247861554 248893914050 258849670612 323562088265 338495723108 423119653885 497787828100 647124176530 846239307770 1100111100101 1294248353060 1617810441325 1692478615540 2115598269425 2200222200202 3235620882650 4231196538850 4400444400404 5500555500505 6471241765300 8462393077700 11001111001010 22002222002020 27502777502525 55005555005050 110011110010100