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11111002010120 = 2351921834141953
BaseRepresentation
bin1010000110101111101101…
…0100111111001000001000
31110100012102211112001011102
42201223323110333020020
52424020313003310440
635344153541520532
72224512662536145
oct241537324771010
943305384461142
1011111002010120
1135a4170a76061
1212b5478113148
136279bc3b304c
142a5abd86b3cc
1514405172db15
hexa1afb53f208

11111002010120 has 96 divisors (see below), whose sum is σ = 26386849989720. Its totient is φ = 4210155048960.

The previous prime is 11111002010083. The next prime is 11111002010123. The reversal of 11111002010120 is 2101020011111.

11111002010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5760931237636 + 5350070772484 = 2400194^2 + 2313022^2 .

It is not an unprimeable number, because it can be changed into a prime (11111002010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264823064 + ... + 264865016.

Almost surely, 211111002010120 is an apocalyptic number.

11111002010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111002010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193424994860).

11111002010120 is an abundant number, since it is smaller than the sum of its proper divisors (15275847979600).

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

11111002010120 is a wasteful number, since it uses less digits than its factorization.

11111002010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60343 (or 60320 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11111002010120 its reverse (2101020011111), we get a palindrome (13212022021231).

The spelling of 11111002010120 in words is "eleven trillion, one hundred eleven billion, two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 18341 36682 41953 73364 83906 91705 146728 167812 183410 209765 335624 348479 366820 419530 696958 733640 797107 839060 1393916 1594214 1678120 1742395 2787832 3188428 3484790 3985535 6376856 6621101 6969580 7971070 13242202 13939160 15145033 15942140 26484404 30290066 31884280 33105505 52968808 60580132 66211010 75725165 121160264 132422020 151450330 264844040 302900660 605801320 769459973 1538919946 3077839892 3847299865 6155679784 7694599730 14619739487 15389199460 29239478974 30778398920 58478957948 73098697435 116957915896 146197394870 277775050253 292394789740 555550100506 584789579480 1111100201012 1388875251265 2222200402024 2777750502530 5555501005060 11111002010120