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1223031310320 = 243522922253117
BaseRepresentation
bin10001110011000010010…
…110001100011111110000
311022220212011011220020210
4101303002112030133300
5130014232003412240
62333504113304120
7154234566416241
oct21630226143760
94286764156223
101223031310320
11431759321456
12179046865040
138b43ccba391
14432a3246cc8
1521c31b32780
hex11cc258c7f0

1223031310320 has 80 divisors (see below), whose sum is σ = 3807953552160. Its totient is φ = 324717468672.

The previous prime is 1223031310201. The next prime is 1223031310321. The reversal of 1223031310320 is 230131303221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12230313103202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223031310321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11071599 + ... + 11181518.

It is an arithmetic number, because the mean of its divisors is an integer number (47599419402).

Almost surely, 21223031310320 is an apocalyptic number.

1223031310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223031310320 is an abundant number, since it is smaller than the sum of its proper divisors (2584922241840).

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

1223031310320 is a wasteful number, since it uses less digits than its factorization.

1223031310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22253362 (or 22253356 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1223031310320 its reverse (230131303221), we get a palindrome (1453162613541).

It can be divided in two parts, 1223031 and 310320, that added together give a palindrome (1533351).

The spelling of 1223031310320 in words is "one trillion, two hundred twenty-three billion, thirty-one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 458 687 916 1145 1374 1832 2290 2748 3435 3664 4580 5496 6870 9160 10992 13740 18320 27480 54960 22253117 44506234 66759351 89012468 111265585 133518702 178024936 222531170 267037404 333796755 356049872 445062340 534074808 667593510 890124680 1068149616 1335187020 1780249360 2670374040 5095963793 5340748080 10191927586 15287891379 20383855172 25479818965 30575782758 40767710344 50959637930 61151565516 76439456895 81535420688 101919275860 122303131032 152878913790 203838551720 244606262064 305757827580 407677103440 611515655160 1223031310320