Search a number
-
+
22311831024229 is a prime number
BaseRepresentation
bin1010001001010111000001…
…10000110011001001100101
32220222222201212101200112111
411010223200300303021211
510411024112220233404
6115241525204121021
74461655654344325
oct504534060631145
986888655350474
1022311831024229
117122437a4379a
122604223096171
13c5acc57c7456
14571c81243285
1528a5ae016104
hex144ae0c33265

22311831024229 has 2 divisors, whose sum is σ = 22311831024230. Its totient is φ = 22311831024228.

The previous prime is 22311831024199. The next prime is 22311831024289. The reversal of 22311831024229 is 92242013811322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11620906013025 + 10690925011204 = 3408945^2 + 3269698^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311831024229 - 29 = 22311831023717 is a prime.

It is a super-3 number, since 3×223118310242293 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22311831024191 and 22311831024200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22311831024289) 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, 11155915512114 + 11155915512115.

It is an arithmetic number, because the mean of its divisors is an integer number (11155915512115).

Almost surely, 222311831024229 is an apocalyptic number.

It is an amenable number.

22311831024229 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311831024229 is an equidigital number, since it uses as much as digits as its factorization.

22311831024229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 22311831024229 in words is "twenty-two trillion, three hundred eleven billion, eight hundred thirty-one million, twenty-four thousand, two hundred twenty-nine".