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3001372110 = 2335112934847
BaseRepresentation
bin1011001011100101…
…0100110111001110
321202011121111112000
42302321110313032
522121322401420
61213453453130
7134243146002
oct26271246716
97664544460
103001372110
111300218320
126b91a11a6
1338aa74c39
14206882702
15128765690
hexb2e54dce

3001372110 has 128 divisors (see below), whose sum is σ = 9032601600. Its totient is φ = 702495360.

The previous prime is 3001372109. The next prime is 3001372141. The reversal of 3001372110 is 112731003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68707 + ... + 103553.

It is an arithmetic number, because the mean of its divisors is an integer number (70567200).

Almost surely, 23001372110 is an apocalyptic number.

3001372110 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 3001372110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516300800).

3001372110 is an abundant number, since it is smaller than the sum of its proper divisors (6031229490).

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

3001372110 is a wasteful number, since it uses less digits than its factorization.

3001372110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34903 (or 34897 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 3001372110 is about 54784.7799119427. The cubic root of 3001372110 is about 1442.4694173557.

The spelling of 3001372110 in words is "three billion, one million, three hundred seventy-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1305 1485 1566 1595 1914 2610 2871 2970 3190 3915 4785 5742 7830 8613 9570 14355 17226 28710 34847 43065 69694 86130 104541 174235 209082 313623 348470 383317 522705 627246 766634 940869 1010563 1045410 1149951 1568115 1881738 1916585 2021126 2299902 3031689 3136230 3449853 3833170 4704345 5052815 5749755 6063378 6899706 9095067 9408690 10105630 10349559 11116193 11499510 15158445 17249265 18190134 20699118 22232386 27285201 30316890 33348579 34498530 45475335 51747795 54570402 55580965 66697158 90950670 100045737 103495590 111161930 136426005 166742895 200091474 272852010 300137211 333485790 500228685 600274422 1000457370 1500686055 3001372110