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111112311321 = 32111766020387
BaseRepresentation
bin110011101111011001…
…1110101001000011001
3101121210121102020122200
41213132303311020121
53310024222430241
6123013322240413
711012316030414
oct1473663651031
9347717366580
10111112311321
1143139004070
121964b356109
13a629a9b49b
145540c08b7b
152d54ab14b6
hex19decf5219

111112311321 has 24 divisors (see below), whose sum is σ = 185385249504. Its totient is φ = 63379570560.

The previous prime is 111112311241. The next prime is 111112311329. The reversal of 111112311321 is 123113211111.

111112311321 is a `hidden beast` number, since 1 + 1 + 111 + 231 + 1 + 321 = 666.

It is not a de Polignac number, because 111112311321 - 233 = 102522376729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111112311294 and 111112311303.

It is not an unprimeable number, because it can be changed into a prime (111112311329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33008511 + ... + 33011876.

It is an arithmetic number, because the mean of its divisors is an integer number (7724385396).

Almost surely, 2111112311321 is an apocalyptic number.

111112311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111112311321 is a deficient number, since it is larger than the sum of its proper divisors (74272938183).

111112311321 is a wasteful number, since it uses less digits than its factorization.

111112311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66020421 (or 66020418 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 111112311321 its reverse (123113211111), we get a palindrome (234225522432).

It can be divided in two parts, 1111 and 12311321, that multiplied together give a palindrome (13677877631).

The spelling of 111112311321 in words is "one hundred eleven billion, one hundred twelve million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 66020387 198061161 594183483 726224257 1122346579 2178672771 3367039737 6536018313 10101119211 12345812369 37037437107 111112311321