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111020212102221 = 323711319369122123
BaseRepresentation
bin11001001111100011101000…
…010011100010010001001101
3112120002102120110121101101200
4121033203220103202101031
5104022423343244232341
61032041551545500113
732245642231353402
oct3117435023422115
9476072513541350
10111020212102221
11324134534936a4
12105505644a1639
1349c4212b785a6
141d5b59a8c22a9
15cc7d5563edb6
hex64f8e84e244d

111020212102221 has 96 divisors (see below), whose sum is σ = 167264306581632. Its totient is φ = 70900040171520.

The previous prime is 111020212102207. The next prime is 111020212102243. The reversal of 111020212102221 is 122201212020111.

111020212102221 is a `hidden beast` number, since 1 + 110 + 20 + 212 + 102 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-111020212102221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111020212102194 and 111020212102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020212122221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5018305266 + ... + 5018327388.

It is an arithmetic number, because the mean of its divisors is an integer number (1742336526892).

Almost surely, 2111020212102221 is an apocalyptic number.

It is an amenable number.

111020212102221 is a deficient number, since it is larger than the sum of its proper divisors (56244094479411).

111020212102221 is a wasteful number, since it uses less digits than its factorization.

111020212102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23163 (or 23160 counting only the distinct ones).

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

Adding to 111020212102221 its reverse (122201212020111), we get a palindrome (233221424122332).

The spelling of 111020212102221 in words is "one hundred eleven trillion, twenty billion, two hundred twelve million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 113 193 333 339 579 691 1017 1737 2073 4181 6219 7141 12543 21423 21809 22123 25567 37629 64269 65427 66369 76701 78083 133363 196281 199107 230103 234249 400089 702747 806933 818551 1200267 2420799 2455653 2499899 2889071 4269739 4934431 7262397 7366959 7499697 8667213 12809217 14803293 15070019 15286993 22499091 26001639 38427651 44409879 45210057 45860979 92496263 135630171 137582937 157980343 277488789 473941029 482480507 557590703 565618741 832466367 1421823087 1447441521 1672772109 1696856223 1727430209 2950389649 4342324563 5018316327 5090568669 5182290627 8851168947 15546871881 17851778759 26553506841 53555336277 63914917733 109164417013 160666008831 191744753199 327493251039 333394030337 575234259597 982479753117 1000182091011 3000546273033 12335579122469 37006737367407 111020212102221