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3000130110 = 233555719949
BaseRepresentation
bin1011001011010010…
…0101101000111110
321202002021101211000
42302310211220332
522121013130420
61213411111130
7134226454005
oct26264455076
97662241730
103000130110
1112aa54a17a
126b88a24a6
1338a72b823
1420663bc3c
151285bc690
hexb2d25a3e

3000130110 has 64 divisors (see below), whose sum is σ = 8015112000. Its totient is φ = 798558336.

The previous prime is 3000130109. The next prime is 3000130123. The reversal of 3000130110 is 110310003.

It is a super-2 number, since 2×30001301102 = 18001561353857224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3000130092 and 3000130101.

It is a congruent number.

It is an unprimeable number.

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, 140416 + ... + 160364.

It is an arithmetic number, because the mean of its divisors is an integer number (125236125).

Almost surely, 23000130110 is an apocalyptic number.

3000130110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007556000).

3000130110 is an abundant number, since it is smaller than the sum of its proper divisors (5014981890).

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

3000130110 is a wasteful number, since it uses less digits than its factorization.

3000130110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20522 (or 20516 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3000130110 is about 54773.4434740048. The cubic root of 3000130110 is about 1442.2704201273.

Adding to 3000130110 its reverse (110310003), we get a palindrome (3110440113).

The spelling of 3000130110 in words is "three billion, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 557 1114 1671 2785 3342 5013 5570 8355 10026 15039 16710 19949 25065 30078 39898 50130 59847 75195 99745 119694 150390 179541 199490 299235 359082 538623 598470 897705 1077246 1795410 2693115 5386230 11111593 22223186 33334779 55557965 66669558 100004337 111115930 166673895 200008674 300013011 333347790 500021685 600026022 1000043370 1500065055 3000130110