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111000000312 = 23322575998703
BaseRepresentation
bin110011101100000011…
…1011001011100111000
3101121111210002020220200
41213120013121130320
53304312000002222
6122554231122200
711006453302155
oct1473007313470
9347453066820
10111000000312
1143090674153
1219619813360
13a60c737276
14552dd3122c
152d49cc8eac
hex19d81d9738

111000000312 has 48 divisors (see below), whose sum is σ = 301794798240. Its totient is φ = 36856025088.

The previous prime is 111000000289. The next prime is 111000000313. The reversal of 111000000312 is 213000000111.

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 = 111000000294 and 111000000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000000313) 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 11 ways as a sum of consecutive naturals, for example, 2980848 + ... + 3017855.

It is an arithmetic number, because the mean of its divisors is an integer number (6287391630).

Almost surely, 2111000000312 is an apocalyptic number.

111000000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111000000312 is an abundant number, since it is smaller than the sum of its proper divisors (190794797928).

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

111000000312 is a wasteful number, since it uses less digits than its factorization.

111000000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998972 (or 5998965 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 111000000312 its reverse (213000000111), we get a palindrome (324000000423).

The spelling of 111000000312 in words is "one hundred eleven billion, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 5998703 11997406 17996109 23994812 35992218 47989624 53988327 71984436 107976654 143968872 215953308 431906616 1541666671 3083333342 4625000013 6166666684 9250000026 12333333368 13875000039 18500000052 27750000078 37000000104 55500000156 111000000312