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12111388047 = 321117233110093
BaseRepresentation
bin10110100011110010…
…10001110110001111
31011021001201021000200
423101321101312033
5144301003404142
65321445024543
7606063046143
oct132171216617
934231637020
1012111388047
115155621110
1224200b5153
1311b0264905
1482c735223
154ad42464c
hex2d1e51d8f

12111388047 has 96 divisors (see below), whose sum is σ = 21768155136. Its totient is φ = 6394291200.

The previous prime is 12111388031. The next prime is 12111388057. The reversal of 12111388047 is 74088311121.

It is not a de Polignac number, because 12111388047 - 24 = 12111388031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111388027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1194933 + ... + 1205025.

It is an arithmetic number, because the mean of its divisors is an integer number (226751616).

Almost surely, 212111388047 is an apocalyptic number.

12111388047 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12111388047 is a deficient number, since it is larger than the sum of its proper divisors (9656767089).

12111388047 is a wasteful number, since it uses less digits than its factorization.

12111388047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 12111388047 its reverse (74088311121), we get a palindrome (86199699168).

The spelling of 12111388047 in words is "twelve billion, one hundred eleven million, three hundred eighty-eight thousand, forty-seven".

Divisors: 1 3 9 11 17 23 31 33 51 69 93 99 153 187 207 253 279 341 391 527 561 713 759 1023 1173 1581 1683 2139 2277 3069 3519 4301 4743 5797 6417 7843 10093 12121 12903 17391 23529 30279 36363 38709 52173 70587 90837 109089 111023 133331 171581 232139 312883 333069 399993 514743 696417 938649 999207 1199979 1544229 1887391 2089251 2553529 2815947 3441713 3946363 5319011 5662173 7196309 7660587 10325139 11839089 15957033 16986519 21588927 22981761 30975417 35517267 43409993 47871099 58509121 64766781 79159399 122337253 130229979 175527363 237478197 367011759 390689937 526582089 712434591 1101035277 1345709783 4037129349 12111388047