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22412452322133 = 322753904566829
BaseRepresentation
bin1010001100010010011100…
…10000100101101101010101
32221100121110100010020021200
411012021032100211231111
510414201200243302013
6115400045523503113
74502150314305066
oct506111620455525
987317410106250
1022412452322133
117161082054135
12261b824b27a99
13c6763cc4b893
14576aa89d256d
1528ceeca78e73
hex14624e425b55

22412452322133 has 12 divisors (see below), whose sum is σ = 32385301647660. Its totient is φ = 14936207463936.

The previous prime is 22412452322107. The next prime is 22412452322159. The reversal of 22412452322133 is 33122325421422.

22412452322133 is a `hidden beast` number, since 2 + 2 + 4 + 124 + 523 + 2 + 2 + 1 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (22412452322107) and next prime (22412452322159).

It can be written as a sum of positive squares in 2 ways, for example, as 21200112592164 + 1212339729969 = 4604358^2 + 1101063^2 .

It is not a de Polignac number, because 22412452322133 - 29 = 22412452321621 is a prime.

It is a super-3 number, since 3×224124523221333 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412452320133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452258638 + ... + 452308191.

It is an arithmetic number, because the mean of its divisors is an integer number (2698775137305).

Almost surely, 222412452322133 is an apocalyptic number.

It is an amenable number.

22412452322133 is a deficient number, since it is larger than the sum of its proper divisors (9972849325527).

22412452322133 is a wasteful number, since it uses less digits than its factorization.

22412452322133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904569588 (or 904569585 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 22412452322133 its reverse (33122325421422), we get a palindrome (55534777743555).

The spelling of 22412452322133 in words is "twenty-two trillion, four hundred twelve billion, four hundred fifty-two million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 2753 8259 24777 904566829 2713700487 8141101461 2490272480237 7470817440711 22412452322133