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3113303000 = 235323223607
BaseRepresentation
bin1011100110010001…
…0011101111011000
322000222020011211112
42321210103233120
522334001144000
61232532515452
7140102432063
oct27144235730
98028204745
103113303000
111358418695
1272a77bb88
133a8005132
1421769b8da
151334c5235
hexb9913bd8

3113303000 has 128 divisors (see below), whose sum is σ = 7648542720. Its totient is φ = 1183881600.

The previous prime is 3113302991. The next prime is 3113303009. The reversal of 3113303000 is 3033113.

It is an interprime number because it is at equal distance from previous prime (3113302991) and next prime (3113303009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113303009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128697 + ... + 5129303.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 23113303000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824271360).

3113303000 is an abundant number, since it is smaller than the sum of its proper divisors (4535239720).

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

3113303000 is a wasteful number, since it uses less digits than its factorization.

3113303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 3113303000 is about 55796.9802050254. The cubic root of 3113303000 is about 1460.1824692190.

Adding to 3113303000 its reverse (3033113), we get a palindrome (3116336113).

The spelling of 3113303000 in words is "three billion, one hundred thirteen million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 223 230 250 446 460 500 575 607 892 920 1000 1115 1150 1214 1784 2230 2300 2428 2875 3035 4460 4600 4856 5129 5575 5750 6070 8920 10258 11150 11500 12140 13961 15175 20516 22300 23000 24280 25645 27875 27922 30350 41032 44600 51290 55750 55844 60700 69805 75875 102580 111500 111688 121400 128225 135361 139610 151750 205160 223000 256450 270722 279220 303500 349025 512900 541444 558440 607000 641125 676805 698050 1025800 1082888 1282250 1353610 1396100 1745125 2564500 2707220 2792200 3113303 3384025 3490250 5129000 5414440 6226606 6768050 6980500 12453212 13536100 13961000 15566515 16920125 24906424 27072200 31133030 33840250 62266060 67680500 77832575 124532120 135361000 155665150 311330300 389162875 622660600 778325750 1556651500 3113303000