Search a number
-
+
20331313011 = 332967387551
BaseRepresentation
bin10010111011110101…
…110011011101110011
31221110220221201021000
4102323311303131303
5313114304004021
613201242333043
71316554211022
oct227365633563
957426851230
1020331313011
118693550429
123b34aba183
131bc021a239
14dac2ca8b9
157dedb2b26
hex4bbd73773

20331313011 has 32 divisors (see below), whose sum is σ = 31624243200. Its totient is φ = 12891463200.

The previous prime is 20331312971. The next prime is 20331313031. The reversal of 20331313011 is 11031313302.

It is a happy number.

20331313011 is a `hidden beast` number, since 2 + 0 + 331 + 31 + 301 + 1 = 666.

It is not a de Polignac number, because 20331313011 - 211 = 20331310963 is a prime.

It is a super-2 number, since 2×203313130112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20331313031) 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 in 31 ways as a sum of consecutive naturals, for example, 141315 + ... + 246236.

It is an arithmetic number, because the mean of its divisors is an integer number (988257600).

Almost surely, 220331313011 is an apocalyptic number.

20331313011 is a deficient number, since it is larger than the sum of its proper divisors (11292930189).

20331313011 is a wasteful number, since it uses less digits than its factorization.

20331313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387656 (or 387650 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20331313011 its reverse (11031313302), we get a palindrome (31362626313).

The spelling of 20331313011 in words is "twenty billion, three hundred thirty-one million, three hundred thirteen thousand, eleven".

Divisors: 1 3 9 27 29 67 87 201 261 603 783 1809 1943 5829 17487 52461 387551 1162653 3487959 10463877 11238979 25965917 33716937 77897751 101150811 233693253 303452433 701079759 753011593 2259034779 6777104337 20331313011