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111200000211 = 32173146150857
BaseRepresentation
bin110011110010000001…
…0010101100011010011
3101122000201102022012100
41213210002111203103
53310214200001321
6123030133531443
711014432256226
oct1474402254323
9348021368170
10111200000211
1143183557023
12196747a3b83
13a641cc14c1
14554c7135bd
152d5c633326
hex19e40958d3

111200000211 has 48 divisors (see below), whose sum is σ = 175941013248. Its totient is φ = 67374028800.

The previous prime is 111200000189. The next prime is 111200000227. The reversal of 111200000211 is 112000002111.

It is a happy number.

It is not a de Polignac number, because 111200000211 - 25 = 111200000179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111200000193 and 111200000202.

It is not an unprimeable number, because it can be changed into a prime (111200000251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2161095 + ... + 2211951.

It is an arithmetic number, because the mean of its divisors is an integer number (3665437776).

Almost surely, 2111200000211 is an apocalyptic number.

111200000211 is a deficient number, since it is larger than the sum of its proper divisors (64741013037).

111200000211 is a wasteful number, since it uses less digits than its factorization.

111200000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51372 (or 51369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111200000211 its reverse (112000002111), we get a palindrome (223200002322).

The spelling of 111200000211 in words is "one hundred eleven billion, two hundred million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 17 31 51 93 153 279 461 527 1383 1581 4149 4743 7837 14291 23511 42873 50857 70533 128619 152571 242947 457713 728841 864569 1576567 2186523 2593707 4729701 7781121 14189103 23445077 26801639 70335231 80404917 211005693 241214751 398566309 726797387 1195698927 2180392161 3587096781 6541176483 12355555579 37066666737 111200000211