Search a number
-
+
1110229731828 = 22327171783145349
BaseRepresentation
bin10000001001111110110…
…110010100100111110100
310221010200211002222200100
4100021332312110213310
5121142222302404303
62210011004114100
7143132346004410
oct20117666244764
93833624088610
101110229731828
11398933815a18
1215b205835930
138090425c929
143ba41d4bd40
151dd2dadc8a3
hex1027ed949f4

1110229731828 has 144 divisors (see below), whose sum is σ = 3397924857600. Its totient is φ = 298379676672.

The previous prime is 1110229731803. The next prime is 1110229731829. The reversal of 1110229731828 is 8281379220111.

1110229731828 is a `hidden beast` number, since 11 + 10 + 2 + 297 + 318 + 28 = 666.

It is a super-2 number, since 2×11102297318282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110229731829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7565698 + ... + 7711046.

It is an arithmetic number, because the mean of its divisors is an integer number (23596700400).

Almost surely, 21110229731828 is an apocalyptic number.

1110229731828 is a gapful number since it is divisible by the number (18) 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 1110229731828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698962428800).

1110229731828 is an abundant number, since it is smaller than the sum of its proper divisors (2287695125772).

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

1110229731828 is a wasteful number, since it uses less digits than its factorization.

1110229731828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147166 (or 147161 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1110229731828 in words is "one trillion, one hundred ten billion, two hundred twenty-nine million, seven hundred thirty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 1783 2142 3566 4284 5349 7132 10698 12481 16047 21396 24962 30311 32094 37443 49924 60622 64188 74886 90933 112329 121244 145349 149772 181866 212177 224658 272799 290698 363732 424354 436047 449316 545598 581396 636531 848708 872094 1017443 1091196 1273062 1308141 1744188 1909593 2034886 2470933 2546124 2616282 3052329 3819186 4069772 4941866 5232564 6104658 7412799 7638372 9156987 9883732 12209316 14825598 17296531 18313974 22238397 29651196 34593062 36627948 44476794 51889593 69186124 88953588 103779186 155668779 207558372 259157267 311337558 518314534 622675116 777471801 1036629068 1554943602 1814100869 2332415403 3109887204 3628201738 4405673539 4664830806 5442302607 7256403476 8811347078 9329661612 10884605214 13217020617 16326907821 17622694156 21769210428 26434041234 30839714773 32653815642 39651061851 52868082468 61679429546 65307631284 79302123702 92519144319 123358859092 158604247404 185038288638 277557432957 370076577276 555114865914 1110229731828