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120010110000110 = 251122316063268459
BaseRepresentation
bin11011010010011000000111…
…111110011101101111101110
3120201220212001220112020211222
4123102120013332131233232
5111212221201130000420
61103123514453143342
734164305254601141
oct3322300776355756
9521825056466758
10120010110000110
113526a00248aa00
121156291b02ab52
1351c6b9bb4c565
14218c73da68058
15dd1b11ee1225
hex6d2607f9dbee

120010110000110 has 96 divisors (see below), whose sum is σ = 247781380976640. Its totient is φ = 41739892793280.

The previous prime is 120010110000073. The next prime is 120010110000113. The reversal of 120010110000110 is 11000011010021.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010110000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446899061 + ... + 447167519.

It is an arithmetic number, because the mean of its divisors is an integer number (2581056051840).

Almost surely, 2120010110000110 is an apocalyptic number.

120010110000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120010110000110 is an abundant number, since it is smaller than the sum of its proper divisors (127771270976530).

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

120010110000110 is a wasteful number, since it uses less digits than its factorization.

120010110000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284574 (or 284563 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 120010110000110 its reverse (11000011010021), we get a palindrome (131010121010131).

It can be divided in two parts, 1200101 and 10000110, that added together give a palindrome (11200211).

The spelling of 120010110000110 in words is "one hundred twenty trillion, ten billion, one hundred ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 23 46 55 110 115 121 230 242 253 506 605 1210 1265 2530 2783 5566 13915 16063 27830 32126 80315 160630 176693 268459 353386 369449 536918 738898 883465 1342295 1766930 1847245 1943623 2684590 2953049 3694490 3887246 4063939 5906098 6174557 8127878 9718115 12349114 14765245 19436230 20319695 29530490 30872785 32483539 40639390 44703329 61745570 64967078 67920127 89406658 135840254 162417695 223516645 324835390 339600635 447033290 679201270 747121397 1494242794 3735606985 4312256917 7471213970 8624513834 21561284585 43122569170 47434826087 94869652174 99181909091 198363818182 237174130435 474348260870 495909545455 521783086957 991819090910 1043566173914 1091001000001 2182002000002 2608915434785 5217830869570 5455005000005 10910010000010 12001011000011 24002022000022 60005055000055 120010110000110