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1100010100110 = 2351012117192393
BaseRepresentation
bin10000000000011101101…
…101100001010110001110
310220011022121001220110220
4100000131231201112032
5121010310041200420
62201200534012210
7142321163401635
oct20003555412616
93804277056426
101100010100110
1139456a02a399
121592331a7066
137c965c0357c
143b35297651c
151d9317e8840
hex1001db6158e

1100010100110 has 128 divisors (see below), whose sum is σ = 2683645655040. Its totient is φ = 288532608000.

The previous prime is 1100010100081. The next prime is 1100010100169. The reversal of 1100010100110 is 110010100011.

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

It is a congruent number.

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, 459677074 + ... + 459679466.

It is an arithmetic number, because the mean of its divisors is an integer number (20965981680).

Almost surely, 21100010100110 is an apocalyptic number.

1100010100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100010100110 is an abundant number, since it is smaller than the sum of its proper divisors (1583635554930).

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

1100010100110 is a wasteful number, since it uses less digits than its factorization.

1100010100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434.

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

Adding to 1100010100110 its reverse (110010100011), we get a palindrome (1210020200121).

Subtracting from 1100010100110 its reverse (110010100011), we obtain a palindrome (990000000099).

The spelling of 1100010100110 in words is "one trillion, one hundred billion, ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 211 303 422 505 606 633 719 1010 1055 1266 1438 1515 2110 2157 2393 3030 3165 3595 4314 4786 6330 7179 7190 10785 11965 14358 21311 21570 23930 35895 42622 63933 71790 72619 106555 127866 145238 151709 213110 217857 241693 303418 319665 363095 435714 455127 483386 504923 639330 725079 726190 758545 910254 1009846 1089285 1208465 1450158 1514769 1517090 1720567 2178570 2275635 2416930 2524615 3029538 3441134 3625395 4551270 5049230 5161701 7250790 7573845 8602835 10323402 15147690 15322609 17205670 25808505 30645218 45967827 50997223 51617010 76613045 91935654 101994446 152991669 153226090 173777267 229839135 254986115 305983338 347554534 363039637 459678270 509972230 521331801 726079274 764958345 868886335 1042663602 1089118911 1529916690 1737772670 1815198185 2178237822 2606659005 3630396370 5213318010 5445594555 10891189110 36667003337 73334006674 110001010011 183335016685 220002020022 366670033370 550005050055 1100010100110