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220120023312 = 2434724263671
BaseRepresentation
bin1100110100000000101…
…1010000000100010000
3210001011112122202210000
43031000023100010100
512101301211221222
6245042144010000
721621531220050
oct3150013200420
9701145582700
10220120023312
1185397018542
12367b1900900
13179ac82b507
14a9222cb560
155ad49ec9ac
hex33402d0110

220120023312 has 100 divisors (see below), whose sum is σ = 728104269376. Its totient is φ = 62891432640.

The previous prime is 220120023293. The next prime is 220120023317. The reversal of 220120023312 is 213320021022.

220120023312 is a `hidden beast` number, since 220 + 1 + 200 + 233 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220120023317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12122764 + ... + 12140907.

Almost surely, 2220120023312 is an apocalyptic number.

It is an amenable number.

220120023312 is an abundant number, since it is smaller than the sum of its proper divisors (507984246064).

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

220120023312 is a wasteful number, since it uses less digits than its factorization.

220120023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24263698 (or 24263683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220120023312 its reverse (213320021022), we get a palindrome (433440044334).

The spelling of 220120023312 in words is "two hundred twenty billion, one hundred twenty million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 24263671 48527342 72791013 97054684 145582026 169845697 194109368 218373039 291164052 339691394 388218736 436746078 509537091 582328104 655119117 679382788 873492156 1019074182 1164656208 1310238234 1358765576 1528611273 1746984312 1965357351 2038148364 2620476468 2717531152 3057222546 3493968624 3930714702 4076296728 4585833819 5240952936 6114445092 7861429404 8152593456 9171667638 10481905872 12228890184 13757501457 15722858808 18343335276 24457780368 27515002914 31445717616 36686670552 55030005828 73373341104 110060011656 220120023312