Search a number
-
+
111100110212 = 227213308314143
BaseRepresentation
bin110011101111000010…
…1010010010110000100
3101121202202110100212202
41213132011102112010
53310013112011322
6123012204534032
711012110232600
oct1473605222604
9347682410782
10111100110212
1143132130203
1219647251318
13a6273b8ab0
14553d350500
152d539a1292
hex19de152584

111100110212 has 72 divisors (see below), whose sum is σ = 243661856256. Its totient is φ = 43934329152.

The previous prime is 111100110167. The next prime is 111100110221. The reversal of 111100110212 is 212011001111.

It is a junction number, because it is equal to n+sod(n) for n = 111100110193 and 111100110202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7848413 + ... + 7862555.

It is an arithmetic number, because the mean of its divisors is an integer number (3384192448).

Almost surely, 2111100110212 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 111100110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121830928128).

111100110212 is an abundant number, since it is smaller than the sum of its proper divisors (132561746044).

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

111100110212 is a wasteful number, since it uses less digits than its factorization.

111100110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17257 (or 17248 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111100110212 its reverse (212011001111), we get a palindrome (323111111323).

The spelling of 111100110212 in words is "one hundred eleven billion, one hundred million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 3083 6166 12332 14143 21581 28286 40079 43162 56572 80158 86324 99001 151067 160316 183859 198002 280553 302134 367718 396004 561106 604268 693007 735436 1122212 1287013 1386014 1963871 2574026 2772028 3927742 5148052 7855484 9009091 18018182 36036364 43602869 87205738 174411476 305220083 566837297 610440166 1133674594 1220880332 2136540581 2267349188 3967861079 4273081162 7935722158 8546162324 15871444316 27775027553 55550055106 111100110212