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112111101121221 = 3237839194413781
BaseRepresentation
bin11001011111011011100110…
…010110111001001011000101
3112200221201100101202100210200
4121133123212112321023011
5104143312013341334341
61034235043455241113
732420521412131206
oct3137334626711305
9480851311670720
10112111101121221
11327a4061941824
12106a7a70b19199
134a730541b6837
141d982c5d255ad
15ce64012e0db6
hex65f6e65b92c5

112111101121221 has 48 divisors (see below), whose sum is σ = 168501954042240. Its totient is φ = 71766367908480.

The previous prime is 112111101121219. The next prime is 112111101121259. The reversal of 112111101121221 is 122121101111211.

112111101121221 is a `hidden beast` number, since 1 + 1 + 211 + 110 + 1 + 121 + 221 = 666.

It is not a de Polignac number, because 112111101121221 - 21 = 112111101121219 is a prime.

It is a super-2 number, since 2×1121111011212212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112111101121194 and 112111101121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111101131221) 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, 23193351 + ... + 27607131.

It is an arithmetic number, because the mean of its divisors is an integer number (3510457375880).

Almost surely, 2112111101121221 is an apocalyptic number.

It is an amenable number.

112111101121221 is a deficient number, since it is larger than the sum of its proper divisors (56390852921019).

112111101121221 is a wasteful number, since it uses less digits than its factorization.

112111101121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414826 (or 4414823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 112111101121221 its reverse (122121101111211), we get a palindrome (234232202232432).

The spelling of 112111101121221 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 37 83 111 249 333 747 919 2757 3071 8271 9213 27639 34003 76277 102009 228831 306027 686493 2822249 4413781 8466747 13241343 25400241 39724029 163309897 366343823 489929691 1099031469 1469789073 3297094407 4056264739 12168794217 13554721451 36506382651 40664164353 121992493059 150081795343 336669973337 450245386029 1010009920011 1350736158087 3030029760033 12456789013469 37370367040407 112111101121221