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3301031120 = 245195936809
BaseRepresentation
bin1100010011000001…
…1011110011010000
322112001110202101212
43010300123303100
523230030443440
61303320315252
7144542205302
oct30460336320
98461422355
103301031120
1114443895a2
12781612b28
13407b8376a
142345a7972
15144c08465
hexc4c1bcd0

3301031120 has 80 divisors (see below), whose sum is σ = 8215992000. Its totient is φ = 1229681664.

The previous prime is 3301031119. The next prime is 3301031137. The reversal of 3301031120 is 211301033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3301031095 and 3301031104.

It is a congruent number.

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, 71276 + ... + 108084.

It is an arithmetic number, because the mean of its divisors is an integer number (102699900).

Almost surely, 23301031120 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 3301031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107996000).

3301031120 is an abundant number, since it is smaller than the sum of its proper divisors (4914960880).

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

3301031120 is a wasteful number, since it uses less digits than its factorization.

3301031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36900 (or 36894 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3301031120 is about 57454.6005120565. The cubic root of 3301031120 is about 1488.9606011679.

Adding to 3301031120 its reverse (211301033), we get a palindrome (3512332153).

The spelling of 3301031120 in words is "three billion, three hundred one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 59 76 80 95 118 152 190 236 295 304 380 472 590 760 944 1121 1180 1520 2242 2360 4484 4720 5605 8968 11210 17936 22420 36809 44840 73618 89680 147236 184045 294472 368090 588944 699371 736180 1398742 1472360 2171731 2797484 2944720 3496855 4343462 5594968 6993710 8686924 10858655 11189936 13987420 17373848 21717310 27974840 34747696 41262889 43434620 55949680 82525778 86869240 165051556 173738480 206314445 330103112 412628890 660206224 825257780 1650515560 3301031120