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11020112021112 = 23319311515162767
BaseRepresentation
bin1010000001011101000111…
…0111001100011001111000
31110000111211112222012122020
42200113101313030121320
52421023142134133422
635234323005554440
72215114435430355
oct240272167143170
943014745865566
1011020112021112
11356966aa40067
12129b931275a20
1361c266090c6c
142a153a69b62c
151419d21a195c
hexa05d1dcc678

11020112021112 has 128 divisors (see below), whose sum is σ = 30134044262400. Its totient is φ = 3345472368000.

The previous prime is 11020112021041. The next prime is 11020112021117. The reversal of 11020112021112 is 21112021102011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11020112021091 and 11020112021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020112021117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446848 + ... + 4715919.

It is an arithmetic number, because the mean of its divisors is an integer number (235422220800).

Almost surely, 211020112021112 is an apocalyptic number.

11020112021112 is a gapful number since it is divisible by the number (12) 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 11020112021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067022131200).

11020112021112 is an abundant number, since it is smaller than the sum of its proper divisors (19113932241288).

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

11020112021112 is a wasteful number, since it uses less digits than its factorization.

11020112021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162977 (or 5162973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11020112021112 its reverse (21112021102011), we get a palindrome (32132133123123).

The spelling of 11020112021112 in words is "eleven trillion, twenty billion, one hundred twelve million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 151 152 186 228 248 302 372 453 456 589 604 744 906 1178 1208 1767 1812 2356 2869 3534 3624 4681 4712 5738 7068 8607 9362 11476 14043 14136 17214 18724 22952 28086 34428 37448 56172 68856 88939 112344 177878 266817 355756 533634 711512 1067268 2134536 5162767 10325534 15488301 20651068 30976602 41302136 61953204 98092573 123906408 160045777 196185146 294277719 320091554 392370292 480137331 588555438 640183108 779577817 784740584 960274662 1177110876 1280366216 1559155634 1920549324 2338733451 2354221752 3040869763 3118311268 3841098648 4677466902 6081739526 6236622536 9122609289 9354933804 12163479052 14811978523 18245218578 18709867608 24166912327 24326958104 29623957046 36490437156 44435935569 48333824654 59247914092 72500736981 72980874312 88871871138 96667649308 118495828184 145001473962 177743742276 193335298616 290002947924 355487484552 459171334213 580005895848 918342668426 1377514002639 1836685336852 2755028005278 3673370673704 5510056010556 11020112021112