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200432300341 = 72131943385129
BaseRepresentation
bin1011101010101010110…
…0100011000100110101
3201011100110201211002011
42322222230203010311
511240441132102331
6232024411444221
720323620304600
oct2725254430465
9634313654064
10200432300341
1178003898909
1232a18456671
1315b92a5c7b0
1499b5693337
1553313b83b1
hex2eaab23135

200432300341 has 48 divisors (see below), whose sum is σ = 270453691200. Its totient is φ = 146743011072.

The previous prime is 200432300333. The next prime is 200432300353. The reversal of 200432300341 is 143003234002.

It is a happy number.

200432300341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200432300341 - 23 = 200432300333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200432300371) 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 47 ways as a sum of consecutive naturals, for example, 327865 + ... + 712993.

It is an arithmetic number, because the mean of its divisors is an integer number (5634451900).

Almost surely, 2200432300341 is an apocalyptic number.

It is an amenable number.

200432300341 is a deficient number, since it is larger than the sum of its proper divisors (70021390859).

200432300341 is a wasteful number, since it uses less digits than its factorization.

200432300341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385218 (or 385211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 200432300341 its reverse (143003234002), we get a palindrome (343435534343).

The spelling of 200432300341 in words is "two hundred billion, four hundred thirty-two million, three hundred thousand, three hundred forty-one".

Divisors: 1 7 13 19 43 49 91 133 247 301 559 637 817 931 1729 2107 3913 5719 10621 12103 27391 40033 74347 385129 520429 2695903 5006677 7317451 16560547 18871321 35046739 51222157 95126863 115923829 215287111 245327173 314650393 358555099 665888041 811466803 1507009777 2202552751 4090455109 4661216287 10549068439 15417869257 28633185763 200432300341