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205442002223131 = 13716316127570463
BaseRepresentation
bin101110101101100100110001…
…100100001000000000011011
3222221102001201100220120021011
4232231210301210020000123
5203411430210032120011
62004534430343354351
761162460222063002
oct5655446144100033
9887361640816234
10205442002223131
115a507511436103
121b060052a529b7
138a831367b8c3b
1438a3635a13c39
1518b4040842621
hexbad93190801b

205442002223131 has 16 divisors (see below), whose sum is σ = 208224434847744. Its totient is φ = 202678321310784.

The previous prime is 205442002223123. The next prime is 205442002223137. The reversal of 205442002223131 is 131322200244502.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 205442002223131 - 23 = 205442002223123 is a prime.

It is a super-2 number, since 2×2054420022231312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205442002223093 and 205442002223102.

It is not an unprimeable number, because it can be changed into a prime (205442002223137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359846806 + ... + 360417268.

It is an arithmetic number, because the mean of its divisors is an integer number (13014027177984).

Almost surely, 2205442002223131 is an apocalyptic number.

205442002223131 is a deficient number, since it is larger than the sum of its proper divisors (2782432624613).

205442002223131 is a wasteful number, since it uses less digits than its factorization.

205442002223131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586890.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 205442002223131 its reverse (131322200244502), we get a palindrome (336764202467633).

The spelling of 205442002223131 in words is "two hundred five trillion, four hundred forty-two billion, two million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 137 163 16127 22331 570463 2209399 2628701 78153431 92985469 360132037 9199856801 12739009253 1260380381737 1499576658563 205442002223131