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112102112020221 = 3319223094981027
BaseRepresentation
bin11001011111010011001110…
…100100001100011011111101
3112200220212010221011201102000
4121133103032210030123331
5104143140111134121341
61034230555503452513
732420052561052521
oct3137231644143375
9480825127151360
10112102112020221
11327a0269815134
12106a61825b7139
134a72250a8136b
141d97ab2149d81
15ce60770688b6
hex65f4ce90c6fd

112102112020221 has 48 divisors (see below), whose sum is σ = 175354102123200. Its totient is φ = 70770656497248.

The previous prime is 112102112020219. The next prime is 112102112020243. The reversal of 112102112020221 is 122020211201211.

112102112020221 is a `hidden beast` number, since 1 + 1 + 210 + 211 + 2 + 0 + 20 + 221 = 666.

It is not a de Polignac number, because 112102112020221 - 21 = 112102112020219 is a prime.

It is a super-2 number, since 2×1121021120202212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112102112020194 and 112102112020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102112020211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20015310 + ... + 24996336.

It is an arithmetic number, because the mean of its divisors is an integer number (3653210460900).

Almost surely, 2112102112020221 is an apocalyptic number.

It is an amenable number.

112102112020221 is a deficient number, since it is larger than the sum of its proper divisors (63251990102979).

112102112020221 is a wasteful number, since it uses less digits than its factorization.

112102112020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983383 (or 4983358 counting only the distinct ones).

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

Adding to 112102112020221 its reverse (122020211201211), we get a palindrome (234122323221432).

The spelling of 112102112020221 in words is "one hundred twelve trillion, one hundred two billion, one hundred twelve million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 19 27 57 171 361 513 1083 2309 3249 6927 9747 20781 43871 62343 131613 394839 833549 1184517 2500647 4981027 7501941 14943081 22505823 44829243 94639513 134487729 283918539 851755617 1798150747 2555266851 5394452241 11501191343 16183356723 34503574029 48550070169 103510722087 218522635517 310532166261 655567906551 1966703719653 4151930074823 5900111158959 12455790224469 37367370673407 112102112020221