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22324146132133 is a prime number
BaseRepresentation
bin1010001001101101111101…
…10011001101010010100101
32221001011112010102222200001
411010312332303031102211
510411224322402212013
6115251323211421301
74462603103133106
oct504667663152245
987034463388601
1022324146132133
11712768755861a
12260669b454831
13c5c209019551
145726cca483ad
1528aa8027bddd
hex144dbeccd4a5

22324146132133 has 2 divisors, whose sum is σ = 22324146132134. Its totient is φ = 22324146132132.

The previous prime is 22324146132091. The next prime is 22324146132161. The reversal of 22324146132133 is 33123164142322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20471806078084 + 1852340054049 = 4524578^2 + 1361007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22324146132133 is a prime.

It is a super-3 number, since 3×223241461321333 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22324146132092 and 22324146132101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22324146132733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11162073066066 + 11162073066067.

It is an arithmetic number, because the mean of its divisors is an integer number (11162073066067).

Almost surely, 222324146132133 is an apocalyptic number.

It is an amenable number.

22324146132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22324146132133 is an equidigital number, since it uses as much as digits as its factorization.

22324146132133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 124416, while the sum is 37.

The spelling of 22324146132133 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty-six million, one hundred thirty-two thousand, one hundred thirty-three".