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13322323020321 = 337371905094097
BaseRepresentation
bin1100000111011101100001…
…0101001100101000100001
31202011121020121010111002000
43001313120111030220201
53221233104143122241
644200105105314213
72543335404150660
oct301673025145041
952147217114060
1013322323020321
114276a6903a617
1215b1b57035969
1375839c536b93
14340b37b90dd7
151818269cdeb6
hexc1dd854ca21

13322323020321 has 32 divisors (see below), whose sum is σ = 23165944231680. Its totient is φ = 7407005845248.

The previous prime is 13322323020319. The next prime is 13322323020343. The reversal of 13322323020321 is 12302032322331.

13322323020321 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 32 + 302 + 0 + 321 = 666.

It is not a de Polignac number, because 13322323020321 - 21 = 13322323020319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13322323024321) 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 31 ways as a sum of consecutive naturals, for example, 952540056 + ... + 952554041.

It is an arithmetic number, because the mean of its divisors is an integer number (723935757240).

Almost surely, 213322323020321 is an apocalyptic number.

It is an amenable number.

13322323020321 is a deficient number, since it is larger than the sum of its proper divisors (9843621211359).

13322323020321 is a wasteful number, since it uses less digits than its factorization.

13322323020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905094150 (or 1905094144 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13322323020321 its reverse (12302032322331), we get a palindrome (25624355342652).

The spelling of 13322323020321 in words is "thirteen trillion, three hundred twenty-two billion, three hundred twenty-three million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 1905094097 5715282291 13335658679 17145846873 40006976037 51437540619 70488481589 120020928111 211465444767 360062784333 493419371123 634396334301 1480258113369 1903189002903 4440774340107 13322323020321