Search a number
-
+
20110223313 = 3237283321317
BaseRepresentation
bin10010101110101010…
…011010011111010001
31220220111221012012200
4102232222122133101
5312141204121223
613123303513413
71311231035445
oct225652323721
956814835180
1020110223313
11858a773474
123a92a58869
131b8648a82b
14d8abb8825
157ca78ea43
hex4aea9a7d1

20110223313 has 24 divisors (see below), whose sum is σ = 29845114728. Its totient is φ = 13039252992.

The previous prime is 20110223299. The next prime is 20110223323. The reversal of 20110223313 is 31332201102.

20110223313 is a `hidden beast` number, since 20 + 110 + 223 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13343022144 + 6767201169 = 115512^2 + 82263^2 .

It is not a de Polignac number, because 20110223313 - 24 = 20110223297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20110223323) 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 in 23 ways as a sum of consecutive naturals, for example, 932731 + ... + 954047.

It is an arithmetic number, because the mean of its divisors is an integer number (1243546447).

Almost surely, 220110223313 is an apocalyptic number.

It is an amenable number.

20110223313 is a deficient number, since it is larger than the sum of its proper divisors (9734891415).

20110223313 is a wasteful number, since it uses less digits than its factorization.

20110223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24193 (or 24190 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20110223313 its reverse (31332201102), we get a palindrome (51442424415).

The spelling of 20110223313 in words is "twenty billion, one hundred ten million, two hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 2833 8499 21317 25497 63951 104821 191853 314463 788729 943389 2366187 7098561 60391061 181173183 543519549 2234469257 6703407771 20110223313