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200013303321 = 3413189946157
BaseRepresentation
bin1011101001000110111…
…0001100111000011001
3201010021021022120020000
42322101232030320121
511234111401201241
6231515043123213
720310342012126
oct2722156147031
9633237276200
10200013303321
1177909328187
1232920073509
1315b26cc9470
149975b8574d
155309700eb6
hex2e91b8ce19

200013303321 has 20 divisors (see below), whose sum is σ = 321768791652. Its totient is φ = 123085109088.

The previous prime is 200013303319. The next prime is 200013303323. The reversal of 200013303321 is 123303310002.

200013303321 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 330 + 332 + 1 = 666.

200013303321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200013303319) and next prime (200013303323).

It can be written as a sum of positive squares in 2 ways, for example, as 108676374921 + 91336928400 = 329661^2 + 302220^2 .

It is not a de Polignac number, because 200013303321 - 21 = 200013303319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200013303294 and 200013303303.

It is not an unprimeable number, because it can be changed into a prime (200013303323) 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 19 ways as a sum of consecutive naturals, for example, 94972026 + ... + 94974131.

Almost surely, 2200013303321 is an apocalyptic number.

It is an amenable number.

200013303321 is a deficient number, since it is larger than the sum of its proper divisors (121755488331).

200013303321 is a wasteful number, since it uses less digits than its factorization.

200013303321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189946182 (or 189946173 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200013303321 its reverse (123303310002), we get a palindrome (323316613323).

The spelling of 200013303321 in words is "two hundred billion, thirteen million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 189946157 569838471 1709515413 2469300041 5128546239 7407900123 15385638717 22223700369 66671101107 200013303321