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22132200203013 = 31717383912372417
BaseRepresentation
bin1010000100001000011011…
…11011100110001100000101
32220100211002002022111101010
411002010031323212030011
510400103221222444023
6115023220432152433
74442666360510235
oct502041573461405
986324062274333
1022132200203013
11706323903604a
122595451098719
13c470994c27b4
145672c04a7cc5
15285a98e34093
hex14210dee6305

22132200203013 has 64 divisors (see below), whose sum is σ = 31501988743680. Its totient is φ = 13773294845952.

The previous prime is 22132200202993. The next prime is 22132200203021. The reversal of 22132200203013 is 31030200223122.

It is a happy number.

It is not a de Polignac number, because 22132200203013 - 212 = 22132200198917 is a prime.

It is a super-3 number, since 3×221322002030133 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132200203053) 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 63 ways as a sum of consecutive naturals, for example, 9156887581 + ... + 9156889997.

It is an arithmetic number, because the mean of its divisors is an integer number (492218574120).

Almost surely, 222132200203013 is an apocalyptic number.

It is an amenable number.

22132200203013 is a deficient number, since it is larger than the sum of its proper divisors (9369788540667).

22132200203013 is a wasteful number, since it uses less digits than its factorization.

22132200203013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22132200203013 its reverse (31030200223122), we get a palindrome (53162400426135).

The spelling of 22132200203013 in words is "twenty-two trillion, one hundred thirty-two billion, two hundred million, two hundred three thousand, thirteen".

Divisors: 1 3 17 51 173 519 839 1237 2417 2517 2941 3711 7251 8823 14263 21029 41089 42789 63087 123267 145147 214001 418141 435441 642003 1037843 1254423 2027863 2467499 2989829 3113529 3638017 6083589 7108397 7402497 8969487 10914051 17643331 21325191 34473671 50827093 52929993 103421013 152481279 179546839 350820299 517240417 538640517 1052460897 1551721251 2508466531 3052296263 5963945083 7525399593 8793087089 9156888789 17891835249 26379261267 42643931027 127931793081 433964709863 1301894129589 7377400067671 22132200203013