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22331113133301 = 3273111434261717
BaseRepresentation
bin1010001001111010111100…
…00100001101010011110101
32221001211111200002022120100
411010331132010031103311
510411333104430231201
6115254434410424313
74463240541513630
oct504753604152365
987054450068510
1022331113133301
11712a632213725
122607b04732099
13c5ca7953a54b
14572b90054c17
1528ad3bc28886
hex144f5e10d4f5

22331113133301 has 24 divisors (see below), whose sum is σ = 38053222997504. Its totient is φ = 12349002653280.

The previous prime is 22331113133233. The next prime is 22331113133317. The reversal of 22331113133301 is 10333131113322.

22331113133301 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 1 + 11 + 313 + 330 + 1 = 666.

It is not a de Polignac number, because 22331113133301 - 210 = 22331113132277 is a prime.

It is a super-2 number, since 2×223311131333012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22331113113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5717128906 + ... + 5717132811.

Almost surely, 222331113133301 is an apocalyptic number.

22331113133301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22331113133301 is a deficient number, since it is larger than the sum of its proper divisors (15722109864203).

22331113133301 is a wasteful number, since it uses less digits than its factorization.

22331113133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434261761 (or 11434261758 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 22331113133301 its reverse (10333131113322), we get a palindrome (32664244246623).

The spelling of 22331113133301 in words is "twenty-two trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 11434261717 34302785151 80039832019 102908355453 240119496057 354462113227 720358488171 1063386339681 2481234792589 3190159019043 7443704377767 22331113133301