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1102202222112 = 253223311535033
BaseRepresentation
bin10000000010100000010…
…111110011011000100000
310220100222100221020112200
4100002200113303120200
5121024302232101422
62202202242453200
7142426412210115
oct20024027633040
93810870836480
101102202222112
11395494469072
12159745364200
137cc25107194
143b4bdb6290c
151da0deab2ac
hex100a05f3620

1102202222112 has 144 divisors (see below), whose sum is σ = 3281188030848. Its totient is φ = 350296151040.

The previous prime is 1102202222081. The next prime is 1102202222141. The reversal of 1102202222112 is 2112222022011.

It is a happy number.

1102202222112 is a `hidden beast` number, since 1 + 10 + 220 + 222 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792548 + ... + 2327580.

It is an arithmetic number, because the mean of its divisors is an integer number (22786027992).

Almost surely, 21102202222112 is an apocalyptic number.

1102202222112 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 1102202222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640594015424).

1102202222112 is an abundant number, since it is smaller than the sum of its proper divisors (2178985808736).

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

1102202222112 is a wasteful number, since it uses less digits than its factorization.

1102202222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535383 (or 535372 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1102202222112 its reverse (2112222022011), we get a palindrome (3214424244123).

It can be divided in two parts, 110220 and 2222112, that added together give a palindrome (2332332).

The spelling of 1102202222112 in words is "one trillion, one hundred two billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 311 368 414 552 622 736 828 933 1104 1244 1656 1866 2208 2488 2799 3312 3732 4976 5598 6624 7153 7464 9952 11196 14306 14928 21459 22392 28612 29856 42918 44784 57224 64377 85836 89568 114448 128754 171672 228896 257508 343344 515016 535033 686688 1030032 1070066 1605099 2060064 2140132 3210198 4280264 4815297 6420396 8560528 9630594 12305759 12840792 17121056 19261188 24611518 25681584 36917277 38522376 49223036 51363168 73834554 77044752 98446072 110751831 147669108 154089504 166395263 196892144 221503662 295338216 332790526 393784288 443007324 499185789 590676432 665581052 886014648 998371578 1181352864 1331162104 1497557367 1772029296 1996743156 2662324208 2995114734 3544058592 3827091049 3993486312 5324648416 5990229468 7654182098 7986972624 11481273147 11980458936 15308364196 15973945248 22962546294 23960917872 30616728392 34443819441 45925092588 47921835744 61233456784 68887638882 91850185176 122466913568 137775277764 183700370352 275550555528 367400740704 551101111056 1102202222112