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220120210112 = 26117322319207
BaseRepresentation
bin1100110100000000101…
…1111101101011000000
3210001011120000021000112
43031000023331223000
512101301233210422
6245042152010452
721621532625465
oct3150013755300
9701146007015
10220120210112
1185397135920
12367b1990a28
13179ac89554a
14a92233966c
155ad4a37ee2
hex33402fdac0

220120210112 has 112 divisors (see below), whose sum is σ = 485229115392. Its totient is φ = 98236385280.

The previous prime is 220120210111. The next prime is 220120210147. The reversal of 220120210112 is 211012021022.

It is not an unprimeable number, because it can be changed into a prime (220120210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11450813 + ... + 11470019.

It is an arithmetic number, because the mean of its divisors is an integer number (4332402816).

Almost surely, 2220120210112 is an apocalyptic number.

220120210112 is a gapful number since it is divisible by the number (22) 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 220120210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242614557696).

220120210112 is an abundant number, since it is smaller than the sum of its proper divisors (265108905280).

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

220120210112 is a wasteful number, since it uses less digits than its factorization.

220120210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19526 (or 19516 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220120210112 its reverse (211012021022), we get a palindrome (431132231134).

The spelling of 220120210112 in words is "two hundred twenty billion, one hundred twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 146 176 223 292 352 446 584 704 803 892 1168 1606 1784 2336 2453 3212 3568 4672 4906 6424 7136 9812 12848 14272 16279 19207 19624 25696 32558 38414 39248 51392 65116 76828 78496 130232 153656 156992 179069 211277 260464 307312 358138 422554 520928 614624 716276 845108 1041856 1229248 1402111 1432552 1690216 2804222 2865104 3380432 4283161 5608444 5730208 6760864 8566322 11216888 11460416 13521728 15423221 17132644 22433776 30846442 34265288 44867552 47114771 61692884 68530576 89735104 94229542 123385768 137061152 188459084 246771536 274122304 312670753 376918168 493543072 625341506 753836336 987086144 1250683012 1507672672 2501366024 3015345344 3439378283 5002732048 6878756566 10005464096 13757513132 20010928192 27515026264 55030052528 110060105056 220120210112