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23311120000 = 2754741627
BaseRepresentation
bin10101101101011100…
…110111011010000000
32020011120222120222211
4111231130313122000
5340220121320000
614413050111504
71453446151660
oct255534673200
966146876884
1023311120000
119982579533
124626a1b594
13227668153c
1411b1d581a0
159167b87ba
hex56d737680

23311120000 has 160 divisors (see below), whose sum is σ = 66323394720. Its totient is φ = 7992192000.

The previous prime is 23311119989. The next prime is 23311120037. The reversal of 23311120000 is 2111332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 539187 + ... + 580813.

It is an arithmetic number, because the mean of its divisors is an integer number (414521217).

Almost surely, 223311120000 is an apocalyptic number.

23311120000 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 23311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33161697360).

23311120000 is an abundant number, since it is smaller than the sum of its proper divisors (43012274720).

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

23311120000 is an frugal number, since it uses more digits than its factorization.

23311120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41668 (or 41641 counting only the distinct ones).

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

Adding to 23311120000 its reverse (2111332), we get a palindrome (23313231332).

The spelling of 23311120000 in words is "twenty-three billion, three hundred eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 41627 56000 70000 80000 83254 112000 140000 166508 208135 280000 291389 333016 416270 560000 582778 666032 832540 1040675 1165556 1332064 1456945 1665080 2081350 2331112 2664128 2913890 3330160 4162700 4662224 5203375 5328256 5827780 6660320 7284725 8325400 9324448 10406750 11655560 13320640 14569450 16650800 18648896 20813500 23311120 26016875 26641280 29138900 33301600 36423625 37297792 41627000 46622240 52033750 58277800 66603200 72847250 83254000 93244480 104067500 116555600 133206400 145694500 166508000 182118125 186488960 208135000 233111200 291389000 333016000 364236250 416270000 466222400 582778000 666032000 728472500 832540000 932444800 1165556000 1456945000 1665080000 2331112000 2913890000 3330160000 4662224000 5827780000 11655560000 23311120000