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22101220201112 = 231317196131073297
BaseRepresentation
bin1010000011001110101110…
…11000010001001010011000
32220020212010000222100010022
411001213113120101022120
510344101244332413422
6115001054351210012
74440521561031053
oct501472730211230
986225100870108
1022101220201112
117051090698098
12258b445b16908
13c441a00a2b20
145659c1c39a9a
15284d84279342
hex1419d7611298

22101220201112 has 128 divisors (see below), whose sum is σ = 49820775883200. Its totient is φ = 9080393269248.

The previous prime is 22101220201111. The next prime is 22101220201157. The reversal of 22101220201112 is 21110202210122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101220201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20055248 + ... + 21128544.

Almost surely, 222101220201112 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 22101220201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24910387941600).

22101220201112 is an abundant number, since it is smaller than the sum of its proper divisors (27719555682088).

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

22101220201112 is a wasteful number, since it uses less digits than its factorization.

22101220201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073965 (or 1073961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22101220201112 its reverse (21110202210122), we get a palindrome (43211422411234).

The spelling of 22101220201112 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 613 646 884 988 1226 1292 1768 1976 2452 2584 4199 4904 7969 8398 10421 11647 15938 16796 20842 23294 31876 33592 41684 46588 63752 83368 93176 135473 151411 197999 270946 302822 395998 541892 605644 791996 1073297 1083784 1211288 1583992 2146594 2573987 4293188 5147974 8586376 10295948 13952861 18246049 20392643 20591896 27905722 36492098 40785286 55811444 72984196 81570572 111622888 145968392 163141144 237198637 265104359 346674931 474397274 530208718 657931061 693349862 948794548 1060417436 1315862122 1386699724 1897589096 2120834872 2631724244 2773399448 4506774103 5263448488 8553103793 9013548206 11184828037 12500690159 17106207586 18027096412 22369656074 25001380318 34212415172 36054192824 44739312148 50002760636 68424830344 89478624296 100005521272 145402764481 162508972067 212511732703 290805528962 325017944134 425023465406 581611057924 650035888268 850046930812 1163222115848 1300071776536 1700093861624 2762652525139 5525305050278 11050610100556 22101220201112