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1102221212112 = 243313929036323
BaseRepresentation
bin10000000010100001100…
…000001111100111010000
310220101000200200000221000
4100002201200033213100
5121024322112241422
62202204201502000
7142430032501416
oct20024140174720
93811020600830
101102221212112
113954a4159589
1215974b7a1900
137cc29025977
143b4c24a72b6
151da109accac
hex100a180f9d0

1102221212112 has 160 divisors (see below), whose sum is σ = 3188145945600. Its totient is φ = 364580535168.

The previous prime is 1102221212111. The next prime is 1102221212119. The reversal of 1102221212112 is 2112121222011.

1102221212112 is a `hidden beast` number, since 110 + 222 + 121 + 211 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102221212111) 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, 174316183 + ... + 174322505.

It is an arithmetic number, because the mean of its divisors is an integer number (19925912160).

Almost surely, 21102221212112 is an apocalyptic number.

1102221212112 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 1102221212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594072972800).

1102221212112 is an abundant number, since it is smaller than the sum of its proper divisors (2085924733488).

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

1102221212112 is a wasteful number, since it uses less digits than its factorization.

1102221212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1102221212112 its reverse (2112121222011), we get a palindrome (3214342434123).

The spelling of 1102221212112 in words is "one trillion, one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 556 834 1112 1251 1668 2224 2502 2903 3336 3753 5004 5806 6323 6672 7506 8709 10008 11612 12646 15012 17418 18969 20016 23224 25292 26127 30024 34836 37938 46448 50584 52254 56907 60048 69672 75876 78381 101168 104508 113814 139344 151752 156762 170721 209016 227628 303504 313524 341442 403517 418032 455256 627048 682884 807034 878897 910512 1210551 1254096 1365768 1614068 1757794 2421102 2636691 2731536 3228136 3515588 3631653 4842204 5273382 6456272 7031176 7263306 7910073 9684408 10546764 10894959 14062352 14526612 15820146 18355669 19368816 21093528 21789918 23730219 29053224 31640292 36711338 42187056 43579836 47460438 55067007 58106448 63280584 73422676 87159672 94920876 110134014 126561168 146845352 165201021 174319344 189841752 220268028 293690704 330402042 379683504 440536056 495603063 660804084 881072112 991206126 1321608168 1982412252 2551437991 2643216336 3964824504 5102875982 7654313973 7929649008 10205751964 15308627946 20411503928 22962941919 30617255892 40823007856 45925883838 61234511784 68888825757 91851767676 122469023568 137777651514 183703535352 275555303028 367407070704 551110606056 1102221212112