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3001321120 = 255710326017
BaseRepresentation
bin1011001011100100…
…1000011010100000
321202011111220120111
42302321020122200
522121314233440
61213452421104
7134242544230
oct26271103240
97664456514
103001321120
111300192a86
126b9177794
1338aa57975
1420686bcc0
151287554ea
hexb2e486a0

3001321120 has 96 divisors (see below), whose sum is σ = 8182556928. Its totient is φ = 1018994688.

The previous prime is 3001321067. The next prime is 3001321163. The reversal of 3001321120 is 211231003.

It is a self number, because there is not a number n which added to its sum of digits gives 3001321120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102352 + ... + 128368.

It is an arithmetic number, because the mean of its divisors is an integer number (85234968).

Almost surely, 23001321120 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 3001321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091278464).

3001321120 is an abundant number, since it is smaller than the sum of its proper divisors (5181235808).

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

3001321120 is a wasteful number, since it uses less digits than its factorization.

3001321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26142 (or 26134 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3001321120 is about 54784.3145434895. The cubic root of 3001321120 is about 1442.4612486549.

Adding to 3001321120 its reverse (211231003), we get a palindrome (3212552123).

The spelling of 3001321120 in words is "three billion, one million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 103 112 140 160 206 224 280 412 515 560 721 824 1030 1120 1442 1648 2060 2884 3296 3605 4120 5768 7210 8240 11536 14420 16480 23072 26017 28840 52034 57680 104068 115360 130085 182119 208136 260170 364238 416272 520340 728476 832544 910595 1040680 1456952 1821190 2081360 2679751 2913904 3642380 4162720 5359502 5827808 7284760 10719004 13398755 14569520 18758257 21438008 26797510 29139040 37516514 42876016 53595020 75033028 85752032 93791285 107190040 150066056 187582570 214380080 300132112 375165140 428760160 600264224 750330280 1500660560 3001321120