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110114103220 = 225114712378609
BaseRepresentation
bin110011010001101001…
…1111101111110110100
3101112020001010000120021
41212203103331332310
53301003202300340
6122330303214524
710645505301622
oct1464323757664
9345201100507
10110114103220
11427765a45a0
1219410ba7444
13a4cb03aac4
145488406512
152ce7135e4a
hex19a34fdfb4

110114103220 has 96 divisors (see below), whose sum is σ = 257866882560. Its totient is φ = 39153315840.

The previous prime is 110114103157. The next prime is 110114103221. The reversal of 110114103220 is 22301411011.

It is a junction number, because it is equal to n+sod(n) for n = 110114103194 and 110114103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110114103221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12786276 + ... + 12794884.

It is an arithmetic number, because the mean of its divisors is an integer number (2686113360).

Almost surely, 2110114103220 is an apocalyptic number.

110114103220 is a gapful number since it is divisible by the number (10) 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 110114103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128933441280).

110114103220 is an abundant number, since it is smaller than the sum of its proper divisors (147752779340).

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

110114103220 is a wasteful number, since it uses less digits than its factorization.

110114103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110114103220 its reverse (22301411011), we get a palindrome (132415514231).

The spelling of 110114103220 in words is "one hundred ten billion, one hundred fourteen million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1237 2068 2474 2585 4948 5170 6185 8609 10340 12370 13607 17218 24740 27214 34436 43045 54428 58139 68035 86090 94699 116278 136070 172180 189398 232556 272140 290695 378796 404623 473495 581390 639529 809246 946990 1162780 1279058 1618492 1893980 2023115 2558116 3197645 4046230 4450853 6395290 8092460 8901706 10649333 12790580 17803412 21298666 22254265 42597332 44508530 53246665 89017060 106493330 117142663 212986660 234285326 468570652 500518651 585713315 1001037302 1171426630 2002074604 2342853260 2502593255 5005186510 5505705161 10010373020 11011410322 22022820644 27528525805 55057051610 110114103220