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12101320 = 2357113929
BaseRepresentation
bin101110001010…
…011011001000
3211202210220001
4232022123020
511044220240
61111212344
7204600550
oct56123310
924683801
1012101320
1169159a0
1240770b4
13267915a
141870160
1510e089a
hexb8a6c8

12101320 has 64 divisors (see below), whose sum is σ = 33955200. Its totient is φ = 3770880.

The previous prime is 12101303. The next prime is 12101329. The reversal of 12101320 is 2310121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12101297 and 12101306.

It is not an unprimeable number, because it can be changed into a prime (12101329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1116 + ... + 5044.

It is an arithmetic number, because the mean of its divisors is an integer number (530550).

Almost surely, 212101320 is an apocalyptic number.

12101320 is a gapful number since it is divisible by the number (10) 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 12101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977600).

12101320 is an abundant number, since it is smaller than the sum of its proper divisors (21853880).

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

12101320 is a wasteful number, since it uses less digits than its factorization.

12101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12101320 is about 3478.6951576705. The cubic root of 12101320 is about 229.5853904191.

Adding to 12101320 its reverse (2310121), we get a palindrome (14411441).

It can be divided in two parts, 12101 and 320, that added together give a palindrome (12421).

The spelling of 12101320 in words is "twelve million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3929 7858 15716 19645 27503 31432 39290 43219 55006 78580 86438 110012 137515 157160 172876 216095 220024 275030 302533 345752 432190 550060 605066 864380 1100120 1210132 1512665 1728760 2420264 3025330 6050660 12101320