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22424300300133 = 3212241203544557
BaseRepresentation
bin1010001100101000100000…
…11101000010011101100101
32221101202001001011212122200
411012110100131002131211
510414344431334101013
6115405325323045113
74503050031411024
oct506242035023545
987352031155580
1022424300300133
117166101a12396
122621b90970799
13c687aa757054
145774b035a8bb
1528d492cbae73
hex146510742765

22424300300133 has 12 divisors (see below), whose sum is σ = 32393302227468. Its totient is φ = 14948312192640.

The previous prime is 22424300300117. The next prime is 22424300300161. The reversal of 22424300300133 is 33100300342422.

22424300300133 is a `hidden beast` number, since 2 + 2 + 4 + 24 + 300 + 300 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3987521746884 + 18436778553249 = 1996878^2 + 4293807^2 .

It is not a de Polignac number, because 22424300300133 - 24 = 22424300300117 is a prime.

It is a super-3 number, since 3×224243003001333 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22424300300097 and 22424300300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424300300833) 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 11 ways as a sum of consecutive naturals, for example, 101662110 + ... + 101882447.

It is an arithmetic number, because the mean of its divisors is an integer number (2699441852289).

Almost surely, 222424300300133 is an apocalyptic number.

It is an amenable number.

22424300300133 is a deficient number, since it is larger than the sum of its proper divisors (9969001927335).

22424300300133 is a wasteful number, since it uses less digits than its factorization.

22424300300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203556804 (or 203556801 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22424300300133 its reverse (33100300342422), we get a palindrome (55524600642555).

The spelling of 22424300300133 in words is "twenty-two trillion, four hundred twenty-four billion, three hundred million, three hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 12241 36723 110169 203544557 610633671 1831901013 2491588922237 7474766766711 22424300300133