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103271112 = 233577589
BaseRepresentation
bin1100010011111…
…00101011001000
321012022201100000
412021330223020
5202414133422
614125243000
72362534650
oct611745310
9235281300
10103271112
115332612a
122a703460
131851a689
14da03360
1590edcac
hex627cac8

103271112 has 96 divisors (see below), whose sum is σ = 331531200. Its totient is φ = 29502144.

The previous prime is 103271111. The next prime is 103271123. The reversal of 103271112 is 211172301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103271111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9814 + ... + 17402.

It is an arithmetic number, because the mean of its divisors is an integer number (3453450).

Almost surely, 2103271112 is an apocalyptic number.

103271112 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 103271112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165765600).

103271112 is an abundant number, since it is smaller than the sum of its proper divisors (228260088).

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

103271112 is an equidigital number, since it uses as much as digits as its factorization.

103271112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 103271112 is about 10162.2395169569. The cubic root of 103271112 is about 469.1657329387.

The spelling of 103271112 in words is "one hundred three million, two hundred seventy-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 7589 13608 15178 22767 30356 45534 53123 60712 68301 91068 106246 136602 159369 182136 204903 212492 273204 318738 409806 424984 478107 546408 614709 637476 819612 956214 1229418 1274952 1434321 1639224 1844127 1912428 2458836 2868642 3688254 3824856 4302963 4917672 5737284 7376508 8605926 11474568 12908889 14753016 17211852 25817778 34423704 51635556 103271112