Search a number
-
+
203317743232 = 2711335339821
BaseRepresentation
bin1011110101011010101…
…1101000111010000000
3201102210120012111121101
42331112223220322000
511312343320240412
6233223004504144
720455255205542
oct2752653507200
9642716174541
10203317743232
117925462485a
12334a284b054
13162327a4656
149baa999692
15544e87e457
hex2f56ae8e80

203317743232 has 64 divisors (see below), whose sum is σ = 409799441160. Its totient is φ = 100471275520.

The previous prime is 203317743229. The next prime is 203317743241. The reversal of 203317743232 is 232347713302.

203317743232 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 122147454016 + 81170289216 = 349496^2 + 284904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 203317743191 and 203317743200.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5085882 + ... + 5125702.

Almost surely, 2203317743232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203317743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204899720580).

203317743232 is an abundant number, since it is smaller than the sum of its proper divisors (206481697928).

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

203317743232 is a wasteful number, since it uses less digits than its factorization.

203317743232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40301 (or 40289 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 37.

The spelling of 203317743232 in words is "two hundred three billion, three hundred seventeen million, seven hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 353 452 706 904 1412 1808 2824 3616 5648 7232 11296 14464 22592 39821 39889 45184 79642 79778 159284 159556 318568 319112 637136 638224 1274272 1276448 2548544 2552896 4499773 5097088 5105792 8999546 14056813 17999092 28113626 35998184 56227252 71996368 112454504 143992736 224909008 287985472 449818016 575970944 899636032 1588419869 1799272064 3176839738 6353679476 12707358952 25414717904 50829435808 101658871616 203317743232