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100001100010110 = 235133119417425987
BaseRepresentation
bin10110101111001101010010…
…000010110001001001111110
3111010002000022121011211110220
4112233031102002301021332
5101101404223100310420
6552403512055442210
730030561324106635
oct2657152202611176
9433060277154426
10100001100010110
1129955256a29042
12b270a72086366
1343a50a8ccb3c0
141a9a116d5451c
15b863d1158840
hex5af3520b127e

100001100010110 has 128 divisors (see below), whose sum is σ = 266816309243904. Its totient is φ = 23820319226880.

The previous prime is 100001100010087. The next prime is 100001100010111. The reversal of 100001100010110 is 11010001100001.

100001100010110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001100010111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234538537 + ... + 234964523.

It is an arithmetic number, because the mean of its divisors is an integer number (2084502415968).

Almost surely, 2100001100010110 is an apocalyptic number.

100001100010110 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 100001100010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133408154621952).

100001100010110 is an abundant number, since it is smaller than the sum of its proper divisors (166815209233794).

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

100001100010110 is a wasteful number, since it uses less digits than its factorization.

100001100010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445458.

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

Adding to 100001100010110 its reverse (11010001100001), we get a palindrome (111011101110111).

The spelling of 100001100010110 in words is "one hundred trillion, one billion, one hundred million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 19417 38834 58251 97085 116502 194170 252421 291255 425987 504842 582510 601927 757263 851974 1203854 1262105 1277961 1514526 1805781 2129935 2524210 2555922 3009635 3611562 3786315 4259870 5537831 6019270 6389805 7572630 7825051 9028905 11075662 12779610 13205597 15650102 16613493 18057810 23475153 26411194 27689155 33226986 39125255 39616791 46950306 55378310 66027985 78250510 79233582 83067465 117375765 132055970 166134930 171672761 198083955 234751530 343345522 396167910 515018283 858363805 1030036566 1716727610 2575091415 5150182830 8271389579 16542779158 24814168737 41356947895 49628337474 82713895790 107528064527 124070843685 215056129054 248141687370 256413076949 322584193581 512826153898 537640322635 645168387162 769239230847 1075280645270 1282065384745 1538478461694 1612920967905 2564130769490 3225841935810 3333370000337 3846196154235 6666740000674 7692392308470 10000110001011 16666850001685 20000220002022 33333700003370 50000550005055 100001100010110