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230303120000 = 27546742967
BaseRepresentation
bin1101011001111100100…
…0101011101010000000
3211000110012221200100012
43112133020223222000
512233130044320000
6253444431044052
722432061135432
oct3263710535200
9730405850305
10230303120000
118974211a828
1238774070628
1318943435205
14b20a8b2652
155ecd9c6735
hex359f22ba80

230303120000 has 160 divisors (see below), whose sum is σ = 581895858720. Its totient is φ = 90744192000.

The previous prime is 230303119997. The next prime is 230303120009. The reversal of 230303120000 is 21303032.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230303120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5338517 + ... + 5381483.

It is an arithmetic number, because the mean of its divisors is an integer number (3636849117).

Almost surely, 2230303120000 is an apocalyptic number.

230303120000 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 230303120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290947929360).

230303120000 is an abundant number, since it is smaller than the sum of its proper divisors (351592738720).

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

230303120000 is an frugal number, since it uses more digits than its factorization.

230303120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43068 (or 43041 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 230303120000 its reverse (21303032), we get a palindrome (230324423032).

The spelling of 230303120000 in words is "two hundred thirty billion, three hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 128 134 160 200 250 268 320 335 400 500 536 625 640 670 800 1000 1072 1250 1340 1600 1675 2000 2144 2500 2680 3200 3350 4000 4288 5000 5360 6700 8000 8375 8576 10000 10720 13400 16000 16750 20000 21440 26800 33500 40000 41875 42880 42967 53600 67000 80000 83750 85934 107200 134000 167500 171868 214400 214835 268000 335000 343736 429670 536000 670000 687472 859340 1072000 1074175 1340000 1374944 1718680 2148350 2680000 2749888 2878789 3437360 4296700 5360000 5370875 5499776 5757578 6874720 8593400 10741750 11515156 13749440 14393945 17186800 21483500 23030312 26854375 27498880 28787890 34373600 42967000 46060624 53708750 57575780 68747200 71969725 85934000 92121248 107417500 115151560 137494400 143939450 171868000 184242496 214835000 230303120 287878900 343736000 359848625 368484992 429670000 460606240 575757800 687472000 719697250 859340000 921212480 1151515600 1439394500 1718680000 1799243125 1842424960 2303031200 2878789000 3437360000 3598486250 4606062400 5757578000 7196972500 9212124800 11515156000 14393945000 23030312000 28787890000 46060624000 57575780000 115151560000 230303120000