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22113344432041 is a prime number
BaseRepresentation
bin1010000011100101010100…
…00010100010011110101001
32220022000101222212002021021
411001302222002202132221
510344301112133311131
6115010421415412441
74441431201220102
oct501625202423651
986260358762237
1022113344432041
117056242490255
12259186a384121
13c45382bb3275
145664121553a9
15285343888e11
hex141caa0a27a9

22113344432041 has 2 divisors, whose sum is σ = 22113344432042. Its totient is φ = 22113344432040.

The previous prime is 22113344431993. The next prime is 22113344432143. The reversal of 22113344432041 is 14023444331122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21420281522025 + 693062910016 = 4628205^2 + 832504^2 .

It is a cyclic number.

It is not a de Polignac number, because 22113344432041 - 211 = 22113344429993 is a prime.

It is a super-3 number, since 3×221133444320413 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22113344431988 and 22113344432006.

It is not a weakly prime, because it can be changed into another prime (22113344432741) 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 as a sum of consecutive naturals, namely, 11056672216020 + 11056672216021.

It is an arithmetic number, because the mean of its divisors is an integer number (11056672216021).

Almost surely, 222113344432041 is an apocalyptic number.

It is an amenable number.

22113344432041 is a deficient number, since it is larger than the sum of its proper divisors (1).

22113344432041 is an equidigital number, since it uses as much as digits as its factorization.

22113344432041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 22113344432041 its reverse (14023444331122), we get a palindrome (36136788763163).

The spelling of 22113344432041 in words is "twenty-two trillion, one hundred thirteen billion, three hundred forty-four million, four hundred thirty-two thousand, forty-one".