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3001310112 = 253235212609
BaseRepresentation
bin1011001011100100…
…0101101110100000
321202011111100110210
42302321011232200
522121313410422
61213452254120
7134242500153
oct26271055640
97664440423
103001310112
111300185789
126b9171340
1338aa52958
14206867c9a
1512875210c
hexb2e45ba0

3001310112 has 96 divisors (see below), whose sum is σ = 8239916160. Its totient is φ = 954736640.

The previous prime is 3001310107. The next prime is 3001310141. The reversal of 3001310112 is 2110131003.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149064 + ... + 1151672.

It is an arithmetic number, because the mean of its divisors is an integer number (85832460).

Almost surely, 23001310112 is an apocalyptic number.

3001310112 is a gapful number since it is divisible by the number (32) 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 3001310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119958080).

3001310112 is an abundant number, since it is smaller than the sum of its proper divisors (5238606048).

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

3001310112 is a wasteful number, since it uses less digits than its factorization.

3001310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

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

The square root of 3001310112 is about 54784.2140766845. The cubic root of 3001310112 is about 1442.4594851389.

Adding to 3001310112 its reverse (2110131003), we get a palindrome (5111441115).

The spelling of 3001310112 in words is "three billion, one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 521 552 736 1042 1104 1563 2084 2208 2609 3126 4168 5218 6252 7827 8336 10436 11983 12504 15654 16672 20872 23966 25008 31308 35949 41744 47932 50016 60007 62616 71898 83488 95864 120014 125232 143796 180021 191728 240028 250464 287592 360042 383456 480056 575184 720084 960112 1150368 1359289 1440168 1920224 2718578 2880336 4077867 5437156 5760672 8155734 10874312 16311468 21748624 31263647 32622936 43497248 62527294 65245872 93790941 125054588 130491744 187581882 250109176 375163764 500218352 750327528 1000436704 1500655056 3001310112