Search a number
-
+
20310000113 = 131728296521
BaseRepresentation
bin10010111010100100…
…100000000111110001
31221102102211220110102
4102322210200013301
5313043330000423
613155201442145
71316205103214
oct227244400761
957372756412
1020310000113
118682513767
123b29940355
131bb8997360
14da953d77b
157dd0a2c28
hex4ba9201f1

20310000113 has 24 divisors (see below), whose sum is σ = 23266191480. Its totient is φ = 17620899840.

The previous prime is 20310000107. The next prime is 20310000121. The reversal of 20310000113 is 31100001302.

It can be written as a sum of positive squares in 12 ways, for example, as 44944 + 20309955169 = 212^2 + 142513^2 .

It is not a de Polignac number, because 20310000113 - 216 = 20309934577 is a prime.

It is a super-3 number, since 3×203100001133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20310000094 and 20310000103.

It is not an unprimeable number, because it can be changed into a prime (20310000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111293 + ... + 3117813.

It is an arithmetic number, because the mean of its divisors is an integer number (969424645).

Almost surely, 220310000113 is an apocalyptic number.

It is an amenable number.

20310000113 is a deficient number, since it is larger than the sum of its proper divisors (2956191367).

20310000113 is a wasteful number, since it uses less digits than its factorization.

20310000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 20310000113 its reverse (31100001302), we get a palindrome (51410001415).

The spelling of 20310000113 in words is "twenty billion, three hundred ten million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 13 17 221 289 829 3757 6521 10777 14093 84773 110857 183209 239581 1441141 1884569 3114553 5405909 24499397 70276817 91900453 1194705889 1562307701 20310000113