Search a number
-
+
221120110102112 = 251313931112295883
BaseRepresentation
bin110010010001101110001001…
…100111011000011001100000
31001222220212122122212100220122
4302101232021213120121200
5212440312441141231422
62102141102022255412
764401254314166324
oct6221561147303140
91058825578770818
10221120110102112
116450156a621781
1220972685587568
13964c6c9795490
143c863b00d1984
151a86c9513ed42
hexc91b899d8660

221120110102112 has 96 divisors (see below), whose sum is σ = 473708275971840. Its totient is φ = 100995423736320.

The previous prime is 221120110102069. The next prime is 221120110102117. The reversal of 221120110102112 is 211201011021122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120110102117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11835323 + ... + 24131205.

It is an arithmetic number, because the mean of its divisors is an integer number (4934461208040).

Almost surely, 2221120110102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221120110102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236854137985920).

221120110102112 is an abundant number, since it is smaller than the sum of its proper divisors (252588165869728).

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

221120110102112 is a wasteful number, since it uses less digits than its factorization.

221120110102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296356 (or 12296348 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221120110102112 its reverse (211201011021122), we get a palindrome (432321121123234).

The spelling of 221120110102112 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 139 208 278 311 416 556 622 1112 1244 1807 2224 2488 3614 4043 4448 4976 7228 8086 9952 14456 16172 28912 32344 43229 57824 64688 86458 129376 172916 345832 561977 691664 1123954 1383328 2247908 4495816 8991632 12295883 17983264 24591766 49183532 98367064 159846479 196734128 319692958 393468256 639385916 1278771832 1709127737 2557543664 3418255474 3824019613 5115087328 6836510948 7648039226 13673021896 15296078452 22218660581 27346043792 30592156904 44437321162 49712254969 54692087584 61184313808 88874642324 99424509938 122368627616 177749284648 198849019876 355498569296 397698039752 531538726207 710997138592 795396079504 1063077452414 1590792159008 2126154904828 4252309809656 6910003440691 8504619619312 13820006881382 17009239238624 27640013762764 55280027525528 110560055051056 221120110102112