Search a number
-
+
11222121101112 = 2334231017455053
BaseRepresentation
bin1010001101001101101010…
…0010101011011100111000
31110201211020220200201210000
42203103122202223130320
52432330401000213422
635511212105353000
72235525423324435
oct243233242533470
943654226621700
1011222121101112
11363730288a859
121312b09798760
1363531a6b636c
142ab22151cb8c
15146da6bcdcac
hexa34da8ab738

11222121101112 has 160 divisors (see below), whose sum is σ = 33123699528480. Its totient is φ = 3542640710400.

The previous prime is 11222121101077. The next prime is 11222121101171. The reversal of 11222121101112 is 21110112122211.

It is a happy number.

11222121101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2222223 + ... + 5232830.

It is an arithmetic number, because the mean of its divisors is an integer number (207023122053).

Almost surely, 211222121101112 is an apocalyptic number.

11222121101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11222121101112 is an abundant number, since it is smaller than the sum of its proper divisors (21901578427368).

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

11222121101112 is a wasteful number, since it uses less digits than its factorization.

11222121101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455195 (or 7455182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11222121101112 its reverse (21110112122211), we get a palindrome (32332233223323).

The spelling of 11222121101112 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 101 108 138 162 184 202 207 216 276 303 324 404 414 552 606 621 648 808 828 909 1212 1242 1656 1818 1863 2323 2424 2484 2727 3636 3726 4646 4968 5454 6969 7272 7452 8181 9292 10908 13938 14904 16362 18584 20907 21816 27876 32724 41814 55752 62721 65448 83628 125442 167256 188163 250884 376326 501768 752652 1505304 7455053 14910106 22365159 29820212 44730318 59640424 67095477 89460636 134190954 171466219 178921272 201286431 268381908 342932438 402572862 514398657 536763816 603859293 685864876 752960353 805145724 1028797314 1207718586 1371729752 1505920706 1543195971 1610291448 2057594628 2258881059 2415437172 3011841412 3086391942 4115189256 4517762118 4629587913 4830874344 6023682824 6172783884 6776643177 9035524236 9259175826 12345567768 13553286354 13888763739 17318088119 18071048472 18518351652 20329929531 27106572708 27777527478 34636176238 37036703304 40659859062 51954264357 54213145416 55555054956 60989788593 69272352476 81319718124 103908528714 111110109912 121979577186 138544704952 155862793071 162639436248 207817057428 243959154372 311725586142 415634114856 467588379213 487918308744 623451172284 935176758426 1246902344568 1402765137639 1870353516852 2805530275278 3740707033704 5611060550556 11222121101112