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22322402223131 is a prime number
BaseRepresentation
bin1010001001101010101101…
…10110101110010000011011
32221001000000120222020020202
411010311112312232100123
510411212234432120011
6115250434153412415
74462511636142233
oct504652666562033
987030016866222
1022322402223131
117126972124a0a
12260629340a10b
13c5bcbb93812a
145725a51b2cc3
1528a9cc10323b
hex144d56dae41b

22322402223131 has 2 divisors, whose sum is σ = 22322402223132. Its totient is φ = 22322402223130.

The previous prime is 22322402223091. The next prime is 22322402223133. The reversal of 22322402223131 is 13132220422322.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22322402223131 is a prime.

It is a super-3 number, since 3×223224022231313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 22322402223133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 22322402223094 and 22322402223103.

It is not a weakly prime, because it can be changed into another prime (22322402223133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11161201111565 + 11161201111566.

It is an arithmetic number, because the mean of its divisors is an integer number (11161201111566).

Almost surely, 222322402223131 is an apocalyptic number.

22322402223131 is a deficient number, since it is larger than the sum of its proper divisors (1).

22322402223131 is an equidigital number, since it uses as much as digits as its factorization.

22322402223131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 22322402223131 its reverse (13132220422322), we get a palindrome (35454622645453).

The spelling of 22322402223131 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred two million, two hundred twenty-three thousand, one hundred thirty-one".