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110010100100110 = 257172925931229377
BaseRepresentation
bin11001000000110110111000…
…111100000010110000001110
3112102111212022000200000202221
4121000312320330002300032
5103404401141111200420
61025545535312005554
732112652556121550
oct3100667074026016
9472455260600687
10110010100100110
1132064026604971
121040883bb308ba
13494cba5938b62
141d247354bd4d0
15cab936294caa
hex640db8f02c0e

110010100100110 has 128 divisors (see below), whose sum is σ = 247977147928320. Its totient is φ = 34261705949184.

The previous prime is 110010100100107. The next prime is 110010100100149. The reversal of 110010100100110 is 11001001010011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 110010100100093 and 110010100100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88869742 + ... + 90099118.

It is an arithmetic number, because the mean of its divisors is an integer number (1937321468190).

Almost surely, 2110010100100110 is an apocalyptic number.

110010100100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110010100100110 is an abundant number, since it is smaller than the sum of its proper divisors (137967047828210).

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

110010100100110 is a wasteful number, since it uses less digits than its factorization.

110010100100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232030.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110010100100110 its reverse (11001001010011), we get a palindrome (121011101110121).

Subtracting from 110010100100110 its reverse (11001001010011), we obtain a palindrome (99009099090099).

The spelling of 110010100100110 in words is "one hundred ten trillion, ten billion, one hundred million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 17 29 34 35 58 70 85 119 145 170 203 238 290 406 493 595 986 1015 1190 2030 2465 2593 3451 4930 5186 6902 12965 17255 18151 25930 34510 36302 44081 75197 88162 90755 150394 181510 220405 308567 375985 440810 526379 617134 751970 1052758 1229377 1278349 1542835 2458754 2556698 2631895 3085670 5263790 6146885 6391745 8605639 8948443 12293770 12783490 17211278 17896886 20899409 35651933 41798818 43028195 44742215 71303866 86056390 89484430 104497045 146295863 178259665 208994090 249563531 292591726 356519330 499127062 606082861 731479315 1212165722 1247817655 1462958630 2495635310 3030414305 3187774561 4242580027 6060828610 6375549122 8485160054 15938872805 21212900135 22314421927 31877745610 42425800270 44628843854 54192167537 92445462269 108384335074 111572109635 184890924538 223144219270 270960837685 379345172759 462227311345 541921675370 647118235883 758690345518 924454622690 1294236471766 1571572858573 1896725863795 3143145717146 3235591179415 3793451727590 6471182358830 7857864292865 11001010010011 15715728585730 22002020020022 55005050050055 110010100100110