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111102112212 = 22371329418317
BaseRepresentation
bin110011101111000110…
…0111011000111010100
3101121202220020002002220
41213132030323013110
53310014120042322
6123012315502340
711012133241410
oct1473614730724
9347686202086
10111102112212
1143133278353
1219647a579b0
13a62793a100
14553d711d40
152d53c4955c
hex19de33b1d4

111102112212 has 144 divisors (see below), whose sum is σ = 321195111552. Its totient is φ = 29266997760.

The previous prime is 111102112157. The next prime is 111102112243. The reversal of 111102112212 is 212211201111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111102112191 and 111102112200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13354278 + ... + 13362594.

It is an arithmetic number, because the mean of its divisors is an integer number (2230521608).

Almost surely, 2111102112212 is an apocalyptic number.

111102112212 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 111102112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160597555776).

111102112212 is an abundant number, since it is smaller than the sum of its proper divisors (210092999340).

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

111102112212 is a wasteful number, since it uses less digits than its factorization.

111102112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9283 counting only the distinct ones).

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

Adding to 111102112212 its reverse (212211201111), we get a palindrome (323313313323).

The spelling of 111102112212 in words is "one hundred eleven billion, one hundred two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 941 1014 1092 1183 1882 2028 2366 2823 3549 3764 4732 5646 6587 7098 8317 11292 12233 13174 14196 16634 19761 24466 24951 26348 33268 36699 39522 48932 49902 58219 73398 79044 85631 99804 108121 116438 146796 159029 171262 174657 216242 232876 256893 318058 324363 342524 349314 432484 477087 513786 636116 648726 698628 756847 954174 1027572 1113203 1297452 1405573 1513694 1908348 2226406 2270541 2811146 3027388 3339609 4216719 4452812 4541082 5622292 6679218 7826297 8433438 9082164 9839011 13358436 15652594 16866876 19678022 23478891 29517033 31305188 39356044 46957782 54784079 59034066 93915564 101741861 109568158 118068132 164352237 203483722 219136316 305225583 328704474 406967444 610451166 657408948 712193027 1220902332 1322644193 1424386054 2136579081 2645288386 2848772108 3967932579 4273158162 5290576772 7935865158 8546316324 9258509351 15871730316 18517018702 27775528053 37034037404 55551056106 111102112212