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103310112 = 2532371659
BaseRepresentation
bin1100010100001…
…10001100100000
321012101200211110
412022012030200
5202421410422
614130143320
72363056443
oct612061440
9235350743
10103310112
1153352464
122a721b40
1318532359
14da1365a
15910a60c
hex6286320

103310112 has 96 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 32426240.

The previous prime is 103310069. The next prime is 103310113. The reversal of 103310112 is 211013301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103310113) 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, 156439 + ... + 157097.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2103310112 is an apocalyptic number.

103310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

103310112 is an abundant number, since it is smaller than the sum of its proper divisors (184090848).

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

103310112 is a wasteful number, since it uses less digits than its factorization.

103310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 103310112 is about 10164.1582041997. The cubic root of 103310112 is about 469.2247851441.

Adding to 103310112 its reverse (211013301), we get a palindrome (314323413).

The spelling of 103310112 in words is "one hundred three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 71 92 96 138 142 184 213 276 284 368 426 552 568 659 736 852 1104 1136 1318 1633 1704 1977 2208 2272 2636 3266 3408 3954 4899 5272 6532 6816 7908 9798 10544 13064 15157 15816 19596 21088 26128 30314 31632 39192 45471 46789 52256 60628 63264 78384 90942 93578 121256 140367 156768 181884 187156 242512 280734 363768 374312 485024 561468 727536 748624 1076147 1122936 1455072 1497248 2152294 2245872 3228441 4304588 4491744 6456882 8609176 12913764 17218352 25827528 34436704 51655056 103310112