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22133200203333 = 3313114474324547
BaseRepresentation
bin1010000100001010010011…
…00010010010111001000101
32220100220122202222202221000
411002011021202102321011
510400112243223001313
6115023503553443513
74443033222412122
oct502051142227105
986326582882830
1022133200203333
11706370155a09a
12259568bb70599
13c471c872cb6b
14567377215749
15285b06b15673
hex142149892e45

22133200203333 has 32 divisors (see below), whose sum is σ = 33063072261120. Its totient is φ = 14632706827440.

The previous prime is 22133200203307. The next prime is 22133200203347. The reversal of 22133200203333 is 33330200233122.

22133200203333 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 320 + 0 + 2 + 0 + 3 + 333 = 666.

It is not a de Polignac number, because 22133200203333 - 28 = 22133200203077 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 22133200203297 and 22133200203306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133200203733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2955766 + ... + 7280312.

It is an arithmetic number, because the mean of its divisors is an integer number (1033221008160).

Almost surely, 222133200203333 is an apocalyptic number.

It is an amenable number.

22133200203333 is a deficient number, since it is larger than the sum of its proper divisors (10929872057787).

22133200203333 is a wasteful number, since it uses less digits than its factorization.

22133200203333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326134 (or 4326128 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 22133200203333 its reverse (33330200233122), we get a palindrome (55463400436455).

The spelling of 22133200203333 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred million, two hundred three thousand, three hundred thirty-three".

Divisors: 1 3 9 27 131 393 1179 1447 3537 4341 13023 39069 189557 568671 1706013 4324547 5118039 12973641 38920923 116762769 566515657 1699546971 5098640913 6257619509 15295922739 18772858527 56318575581 168955726743 819748155679 2459244467037 7377733401111 22133200203333