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200553030314 = 272131131393097
BaseRepresentation
bin1011101011000111100…
…1000110001010101010
3201011122212220112110122
42322301321012022222
511241213033432224
6232044403243242
720326614426200
oct2726171061252
9634585815418
10200553030314
1178065a5904a
1232a50979522
1315bb1a80a50
1499c771d070
15533bcb515e
hex2eb1e462aa

200553030314 has 48 divisors (see below), whose sum is σ = 380198733768. Its totient is φ = 78637483008.

The previous prime is 200553030311. The next prime is 200553030319. The reversal of 200553030314 is 413030355002.

200553030314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83235135025 + 117317895289 = 288505^2 + 342517^2 .

It is a super-3 number, since 3×2005530303143 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200553030311) 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, 552587 + ... + 840510.

Almost surely, 2200553030314 is an apocalyptic number.

200553030314 is a deficient number, since it is larger than the sum of its proper divisors (179645703454).

200553030314 is a wasteful number, since it uses less digits than its factorization.

200553030314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393239 (or 1393232 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 200553030314 its reverse (413030355002), we get a palindrome (613583385316).

The spelling of 200553030314 in words is "two hundred billion, five hundred fifty-three million, thirty thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 26 49 91 98 113 182 226 637 791 1274 1469 1582 2938 5537 10283 11074 20566 71981 143962 1393097 2786194 9751679 18110261 19503358 36220522 68261753 126771827 136523506 157419961 253543654 314839922 887402789 1101939727 1774805578 2046459493 2203879454 4092918986 7713578089 14325216451 15427156178 28650432902 100276515157 200553030314