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20330003331 = 32112003102523
BaseRepresentation
bin10010111011110000…
…110011101110000011
31221110211111011201100
4102323300303232003
5313113440101311
613201154305443
71316540114511
oct227360635603
957424434640
1020330003331
118692836450
123b34588283
131bbcb7c091
14dac0694b1
157dec04a56
hex4bbc33b83

20330003331 has 24 divisors (see below), whose sum is σ = 32051462976. Its totient is φ = 12314942640.

The previous prime is 20330003297. The next prime is 20330003341. The reversal of 20330003331 is 13330003302.

20330003331 is a `hidden beast` number, since 2 + 0 + 330 + 0 + 0 + 3 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-20330003331 is a prime.

It is a super-2 number, since 2×203300033312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20330003341) 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, 147036 + ... + 249558.

It is an arithmetic number, because the mean of its divisors is an integer number (1335477624).

Almost surely, 220330003331 is an apocalyptic number.

20330003331 is a deficient number, since it is larger than the sum of its proper divisors (11721459645).

20330003331 is a wasteful number, since it uses less digits than its factorization.

20330003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104543 (or 104540 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 20330003331 its reverse (13330003302), we get a palindrome (33660006633).

The spelling of 20330003331 in words is "twenty billion, three hundred thirty million, three thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 2003 6009 18027 22033 66099 102523 198297 307569 922707 1127753 3383259 10149777 205353569 616060707 1848182121 2258889259 6776667777 20330003331