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23300000320320 = 263258090277889
BaseRepresentation
bin1010100110000111101000…
…01111100000101101000000
310001111110101002021002020200
411103003310033200231000
511023221400040222240
6121315512233405200
74623240504644253
oct523036417405500
9101443332232220
1023300000320320
117473524829739
122743842b69800
131000246a25279
145a7a2433b09a
152a6146ced930
hex1530f43e0b40

23300000320320 has 84 divisors (see below), whose sum is σ = 80142292778340. Its totient is φ = 6213333417984.

The previous prime is 23300000320313. The next prime is 23300000320351. The reversal of 23300000320320 is 2302300000332.

23300000320320 is a `hidden beast` number, since 23 + 3 + 0 + 0 + 0 + 0 + 0 + 320 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4907430033984 + 18392570286336 = 2215272^2 + 4288656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23300000320293 and 23300000320302.

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 11 ways as a sum of consecutive naturals, for example, 4045136065 + ... + 4045141824.

Almost surely, 223300000320320 is an apocalyptic number.

23300000320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23300000320320 is an abundant number, since it is smaller than the sum of its proper divisors (56842292458020).

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

23300000320320 is a wasteful number, since it uses less digits than its factorization.

23300000320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090277912 (or 8090277899 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23300000320320 its reverse (2302300000332), we get a palindrome (25602300320652).

The spelling of 23300000320320 in words is "twenty-three trillion, three hundred billion, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8090277889 16180555778 24270833667 32361111556 40451389445 48541667334 64722223112 72812501001 80902778890 97083334668 121354168335 129444446224 145625002002 161805557780 194166669336 242708336670 258888892448 291250004004 323611115560 364062505005 388333338672 485416673340 517777784896 582500008008 647222231120 728125010010 776666677344 970833346680 1165000016016 1294444462240 1456250020020 1553333354688 1941666693360 2330000032032 2588888924480 2912500040040 3883333386720 4660000064064 5825000080080 7766666773440 11650000160160 23300000320320