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12101111020110 = 2357230612689333
BaseRepresentation
bin1011000000011000001001…
…1011000111101001001110
31120211212002020022010010010
42300012002123013221032
53041231033410120420
641423101302054050
72356163545342500
oct260060233075116
946755066263103
1012101111020110
113946063771842
12143533971a326
1369a18c43ac78
142db9a8409d70
1515eb9e96b4e0
hexb01826c7a4e

12101111020110 has 96 divisors (see below), whose sum is σ = 33795375865632. Its totient is φ = 2765063589120.

The previous prime is 12101111020109. The next prime is 12101111020183. The reversal of 12101111020110 is 1102011110121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3155004 + ... + 5844336.

It is an arithmetic number, because the mean of its divisors is an integer number (352035165267).

Almost surely, 212101111020110 is an apocalyptic number.

12101111020110 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 12101111020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897687932816).

12101111020110 is an abundant number, since it is smaller than the sum of its proper divisors (21694264845522).

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

12101111020110 is a wasteful number, since it uses less digits than its factorization.

12101111020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692418 (or 2692411 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12101111020110 its reverse (1102011110121), we get a palindrome (13203122130231).

The spelling of 12101111020110 in words is "twelve trillion, one hundred one billion, one hundred eleven million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 3061 6122 9183 15305 18366 21427 30610 42854 45915 64281 91830 107135 128562 149989 214270 299978 321405 449967 642810 749945 899934 1499890 2249835 2689333 4499670 5378666 8067999 13446665 16135998 18825331 26893330 37650662 40339995 56475993 80679990 94126655 112951986 131777317 188253310 263554634 282379965 395331951 564759930 658886585 790663902 1317773170 1976659755 3953319510 8232048313 16464096626 24696144939 41160241565 49392289878 57624338191 82320483130 115248676382 123480724695 172873014573 246961449390 288121690955 345746029146 403370367337 576243381910 806740734674 864365072865 1210111102011 1728730145730 2016851836685 2420222204022 4033703673370 6050555510055 12101111020110