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11110202221120 = 265431471548897
BaseRepresentation
bin1010000110101100101110…
…1010000010001001000000
31110100010101002120112220121
42201223023222002021000
52424012143232033440
635343542331350024
72224454111461612
oct241531352021100
943303332515817
1011110202221120
1135a38a0569812
1212b52942b2314
136278c27a5212
142a5a45558db2
151440063e934a
hexa1acba82240

11110202221120 has 112 divisors (see below), whose sum is σ = 27089881555968. Its totient is φ = 4337771397120.

The previous prime is 11110202221009. The next prime is 11110202221123. The reversal of 11110202221120 is 2112220201111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11110202221094 and 11110202221103.

It is not an unprimeable number, because it can be changed into a prime (11110202221123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19966512 + ... + 20515408.

It is an arithmetic number, because the mean of its divisors is an integer number (241873942464).

Almost surely, 211110202221120 is an apocalyptic number.

11110202221120 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 11110202221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544940777984).

11110202221120 is an abundant number, since it is smaller than the sum of its proper divisors (15979679334848).

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

11110202221120 is a wasteful number, since it uses less digits than its factorization.

11110202221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550428 (or 550418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11110202221120 its reverse (2112220201111), we get a palindrome (13222422422231).

The spelling of 11110202221120 in words is "eleven trillion, one hundred ten billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1471 1720 2752 2942 3440 5884 6880 7355 11768 13760 14710 23536 29420 47072 58840 63253 94144 117680 126506 235360 253012 316265 470720 506024 548897 632530 1012048 1097794 1265060 2024096 2195588 2530120 2744485 4048192 4391176 5060240 5488970 8782352 10120480 10977940 17564704 20240960 21955880 23602571 35129408 43911760 47205142 87823520 94410284 118012855 175647040 188820568 236025710 377641136 472051420 755282272 807427487 944102840 1510564544 1614854974 1888205680 3229709948 3776411360 4037137435 6459419896 7552822720 8074274870 12918839792 16148549740 25837679584 32297099480 34719381941 51675359168 64594198960 69438763882 129188397920 138877527764 173596909705 258376795840 277755055528 347193819410 555510111056 694387638820 1111020222112 1388775277640 2222040444224 2777550555280 5555101110560 11110202221120