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20211112212102 = 232721011201188911
BaseRepresentation
bin1001001100001110001000…
…01010011111011010000110
32122120011102011100001110100
410212013010022133122012
510122114324211241402
6110552505021304530
74154130126145500
oct446070412373206
978504364301410
1020211112212102
116492536a396a9
122325070705146
13b37b90858736
144dc31a09cd70
15250b0db6271c
hex1261c429f686

20211112212102 has 144 divisors (see below), whose sum is σ = 51487718503104. Its totient is φ = 5712638400000.

The previous prime is 20211112212079. The next prime is 20211112212197. The reversal of 20211112212102 is 20121221111202.

20211112212102 is a `hidden beast` number, since 20 + 211 + 1 + 1 + 221 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106893027 + ... + 107081937.

It is an arithmetic number, because the mean of its divisors is an integer number (357553600716).

Almost surely, 220211112212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211112212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25743859251552).

20211112212102 is an abundant number, since it is smaller than the sum of its proper divisors (31276606291002).

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

20211112212102 is a wasteful number, since it uses less digits than its factorization.

20211112212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190235 (or 190225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20211112212102 its reverse (20121221111202), we get a palindrome (40332333323304).

The spelling of 20211112212102 in words is "twenty trillion, two hundred eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 606 707 882 909 1201 1414 1818 2121 2402 3603 4242 4949 6363 7206 8407 9898 10809 12726 14847 16814 21618 25221 29694 44541 50442 58849 75663 89082 117698 121301 151326 176547 188911 242602 353094 363903 377822 529641 566733 727806 849107 1059282 1091709 1133466 1322377 1698214 1700199 2183418 2547321 2644754 3400398 3967131 5094642 5943749 7641963 7934262 9256639 11887498 11901393 15283926 17831247 18513278 19080011 23802786 27769917 35662494 38160022 53493741 55539834 57240033 83309751 106987482 114480066 133560077 166619502 171720099 226882111 267120154 343440198 400680231 453764222 680646333 801360462 934920539 1202040693 1361292666 1588174777 1869841078 2041938999 2404081386 2804761617 3176349554 4083877998 4764524331 5609523234 8414284851 9529048662 11117223439 14293572993 16828569702 22234446878 22915093211 28587145986 33351670317 45830186422 66703340634 68745279633 100055010951 137490559266 160405652477 200110021902 206235838899 320811304954 412471677798 481216957431 962433914862 1122839567339 1443650872293 2245679134678 2887301744586 3368518702017 6737037404034 10105556106051 20211112212102