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2301120230000 = 2454278982507
BaseRepresentation
bin100001011111000101011…
…101000011001001110000
322010222121000200110101012
4201133011131003021300
5300200143234330000
64521041532330052
7325151622141164
oct41370535031160
98128530613335
102301120230000
1180799941a4a9
12311b80613928
13138cc14a7967
147d5366b8ca4
153eccdbbb735
hex217c5743270

2301120230000 has 100 divisors (see below), whose sum is σ = 5573307314520. Its totient is φ = 920106912000.

The previous prime is 2301120229981. The next prime is 2301120230011. The reversal of 2301120230000 is 320211032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27848747 + ... + 27931253.

Almost surely, 22301120230000 is an apocalyptic number.

2301120230000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301120230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786653657260).

2301120230000 is an abundant number, since it is smaller than the sum of its proper divisors (3272187084520).

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

2301120230000 is an equidigital number, since it uses as much as digits as its factorization.

2301120230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85324 (or 85303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2301120230000 its reverse (320211032), we get a palindrome (2301440441032).

The spelling of 2301120230000 in words is "two trillion, three hundred one billion, one hundred twenty million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2789 5000 5578 10000 11156 13945 22312 27890 44624 55780 69725 82507 111560 139450 165014 223120 278900 330028 348625 412535 557800 660056 697250 825070 1115600 1320112 1394500 1650140 1743125 2062675 2789000 3300280 3486250 4125350 5578000 6600560 6972500 8250700 10313375 13945000 16501400 20626750 27890000 33002800 41253500 51566875 82507000 103133750 165014000 206267500 230112023 412535000 460224046 825070000 920448092 1150560115 1840896184 2301120230 3681792368 4602240460 5752800575 9204480920 11505601150 18408961840 23011202300 28764002875 46022404600 57528005750 92044809200 115056011500 143820014375 230112023000 287640028750 460224046000 575280057500 1150560115000 2301120230000