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21233120320000 = 295466353501
BaseRepresentation
bin1001101001111101110001…
…00110000001101000000000
32210011212101122220012100201
410310332320212001220000
510240340412300220000
6113054205534054544
74321020341552431
oct464767046015000
983155348805321
1021233120320000
116846a08968816
12246b15504a454
13bb0375554814
1453598d397488
1526c4c75a996a
hex134fb8981a00

21233120320000 has 100 divisors (see below), whose sum is σ = 53013993018426. Its totient is φ = 8493248000000.

The previous prime is 21233120319997. The next prime is 21233120320003. The reversal of 21233120320000 is 2302133212.

It is an interprime number because it is at equal distance from previous prime (21233120319997) and next prime (21233120320003).

It can be written as a sum of positive squares in 5 ways, for example, as 482835978496 + 20750284341504 = 694864^2 + 4555248^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 21233120320000.

It is not an unprimeable number, because it can be changed into a prime (21233120320003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32856751 + ... + 33496750.

Almost surely, 221233120320000 is an apocalyptic number.

21233120320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233120320000 is an abundant number, since it is smaller than the sum of its proper divisors (31780872698426).

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

21233120320000 is an frugal number, since it uses more digits than its factorization.

21233120320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66353539 (or 66353508 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21233120320000 its reverse (2302133212), we get a palindrome (21235422453212).

The spelling of 21233120320000 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred twenty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 66353501 132707002 265414004 331767505 530828008 663535010 1061656016 1327070020 1658837525 2123312032 2654140040 3317675050 4246624064 5308280080 6635350100 8294187625 8493248128 10616560160 13270700200 16588375250 16986496256 21233120320 26541400400 33176750500 33972992512 41470938125 42466240640 53082800800 66353501000 82941876250 84932481280 106165601600 132707002000 165883752500 169864962560 212331203200 265414004000 331767505000 424662406400 530828008000 663535010000 849324812800 1061656016000 1327070020000 2123312032000 2654140040000 4246624064000 5308280080000 10616560160000 21233120320000