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111112001221 = 13149157365369
BaseRepresentation
bin110011101111011001…
…0101001011011000101
3101121210120211111021111
41213132302221123011
53310024133014341
6123013311445021
711012313266344
oct1473662513305
9347716744244
10111112001221
1143138912091
121964b226771
13a6299c02b0
145540b67b5b
152d54a4e681
hex19deca96c5

111112001221 has 16 divisors (see below), whose sum is σ = 121229766000. Its totient is φ = 101227396608.

The previous prime is 111112001191. The next prime is 111112001233. The reversal of 111112001221 is 122100211111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25520062500 + 85591938721 = 159750^2 + 292561^2 .

It is not a de Polignac number, because 111112001221 - 27 = 111112001093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112001321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121425 + ... + 486793.

It is an arithmetic number, because the mean of its divisors is an integer number (7576860375).

Almost surely, 2111112001221 is an apocalyptic number.

It is an amenable number.

111112001221 is a deficient number, since it is larger than the sum of its proper divisors (10117764779).

111112001221 is a wasteful number, since it uses less digits than its factorization.

111112001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365688.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111112001221 its reverse (122100211111), we get a palindrome (233212212332).

The spelling of 111112001221 in words is "one hundred eleven billion, one hundred twelve million, one thousand, two hundred twenty-one".

Divisors: 1 13 149 157 1937 2041 23393 304109 365369 4749797 54439981 57362933 707719753 745718129 8547077017 111112001221