Search a number
-
+
200323404133242 = 231317832417595949
BaseRepresentation
bin101101100011000101101101…
…010101111111001101111010
3222021021201201110120020111020
4231203011231111333031322
5202224044312424230432
61550015145034243310
760123613462144605
oct5543055525771572
9867251643506436
10200323404133242
1158913751238325
121a574026886536
1387a1553b07630
1437679c11b333c
151825d1128b22c
hexb6316d57f37a

200323404133242 has 64 divisors (see below), whose sum is σ = 431887119955200. Its totient is φ = 61577809818624.

The previous prime is 200323404133187. The next prime is 200323404133271. The reversal of 200323404133242 is 242331404323002.

200323404133242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335843884 + ... + 336439832.

It is an arithmetic number, because the mean of its divisors is an integer number (6748236249300).

Almost surely, 2200323404133242 is an apocalyptic number.

200323404133242 is an abundant number, since it is smaller than the sum of its proper divisors (231563715821958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200323404133242 is a wasteful number, since it uses less digits than its factorization.

200323404133242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600167.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 200323404133242 its reverse (242331404323002), we get a palindrome (442654808456244).

The spelling of 200323404133242 in words is "two hundred trillion, three hundred twenty-three billion, four hundred four million, one hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 1783 2417 3566 4834 5349 7251 10698 14502 23179 31421 46358 62842 69537 94263 139074 188526 595949 1191898 1787847 3575694 4309511 7747337 8619022 12928533 15494674 23242011 25857066 46484022 56023643 112047286 168070929 336141858 1062577067 1440408733 2125154134 2880817466 3187731201 4321226199 6375462402 8642452398 13813501871 18725313529 27627003742 37450627058 41440505613 56175940587 82881011226 112351881174 2568248770939 5136497541878 7704746312817 15409492625634 33387234022207 66774468044414 100161702066621 200323404133242