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22231033301133 = 322470114811237
BaseRepresentation
bin1010000111000000100001…
…10101111100100010001101
32220201021011221020002011200
411003200100311330202031
510403213124011114013
6115140443512340113
74453065505131366
oct503402065744215
986637157202150
1022231033301133
1170a1145811528
1225b06340a4639
13c534ba328c47
1456bdb8572b6d
152884309bee73
hex143810d7c88d

22231033301133 has 6 divisors (see below), whose sum is σ = 32111492546094. Its totient is φ = 14820688867416.

The previous prime is 22231033301117. The next prime is 22231033301249. The reversal of 22231033301133 is 33110333013222.

22231033301133 is a `hidden beast` number, since 2 + 2 + 2 + 310 + 3 + 330 + 1 + 13 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14903823139209 + 7327210161924 = 3860547^2 + 2706882^2 .

It is not a de Polignac number, because 22231033301133 - 24 = 22231033301117 is a prime.

It is a super-2 number, since 2×222310333011332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22231033301097 and 22231033301106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231033301933) 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 5 ways as a sum of consecutive naturals, for example, 1235057405610 + ... + 1235057405627.

It is an arithmetic number, because the mean of its divisors is an integer number (5351915424349).

Almost surely, 222231033301133 is an apocalyptic number.

It is an amenable number.

22231033301133 is a deficient number, since it is larger than the sum of its proper divisors (9880459244961).

22231033301133 is a wasteful number, since it uses less digits than its factorization.

22231033301133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470114811243 (or 2470114811240 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 22231033301133 its reverse (33110333013222), we get a palindrome (55341366314355).

The spelling of 22231033301133 in words is "twenty-two trillion, two hundred thirty-one billion, thirty-three million, three hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 2470114811237 7410344433711 22231033301133