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1102110132222 = 233119735953281
BaseRepresentation
bin10000000010011010111…
…000100000011111111110
310220100201221122120222000
4100002122320200133332
5121024110143212342
62202145153003130
7142424213361351
oct20023270403776
93810657576860
101102110132222
1139544748a620
1215971a5534a6
137cc0c002c18
143b4b1830298
151da05d6a44c
hex1009ae207fe

1102110132222 has 128 divisors (see below), whose sum is σ = 2706896102400. Its totient is φ = 329602867200.

The previous prime is 1102110132133. The next prime is 1102110132223. The reversal of 1102110132222 is 2222310112011.

1102110132222 is a `hidden beast` number, since 110 + 211 + 0 + 1 + 322 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102110132195 and 1102110132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102110132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20658222 + ... + 20711502.

It is an arithmetic number, because the mean of its divisors is an integer number (21147625800).

Almost surely, 21102110132222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102110132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353448051200).

1102110132222 is an abundant number, since it is smaller than the sum of its proper divisors (1604785970178).

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

1102110132222 is a wasteful number, since it uses less digits than its factorization.

1102110132222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53759 (or 53753 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1102110132222 its reverse (2222310112011), we get a palindrome (3324420244233).

The spelling of 1102110132222 in words is "one trillion, one hundred two billion, one hundred ten million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 359 582 594 718 873 1067 1077 1746 2134 2154 2619 3201 3231 3949 5238 6402 6462 7898 9603 9693 11847 19206 19386 23694 28809 34823 35541 53281 57618 69646 71082 104469 106562 106623 159843 208938 213246 313407 319686 383053 479529 586091 626814 766106 940221 959058 1149159 1172182 1438587 1758273 1880442 2298318 2877174 3447477 3516546 5168257 5274819 6894954 10336514 10342431 10549638 15504771 15824457 19127879 20684862 31009542 31648914 38255758 46514313 56850827 57383637 93028626 113701654 114767274 139542939 170552481 172150911 210406669 279085878 341104962 344301822 420813338 511657443 516452733 631220007 1023314886 1032905466 1262440014 1534972329 1855404263 1893660021 3069944658 3710808526 3787320042 5566212789 5680980063 11132425578 11361960126 16698638367 20409446893 33397276734 40818893786 50095915101 61228340679 100191830202 122456681358 183685022037 367370044074 551055066111 1102110132222