Search a number
-
+
200333320101 = 32174128334513
BaseRepresentation
bin1011101010010011001…
…0111101111110100101
3201011002120111002201100
42322210302331332211
511240240312220401
6232010514150313
720321306060505
oct2724462757645
9634076432640
10200333320101
1177a62a33562
12329ab282399
1315b783b51c5
1499a6489a05
155327865b86
hex2ea4cbdfa5

200333320101 has 24 divisors (see below), whose sum is σ = 289702940696. Its totient is φ = 133402152960.

The previous prime is 200333320091. The next prime is 200333320139. The reversal of 200333320101 is 101023333002.

200333320101 is a `hidden beast` number, since 2 + 0 + 0 + 333 + 320 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33215062500 + 167118257601 = 182250^2 + 408801^2 .

It is not a de Polignac number, because 200333320101 - 210 = 200333319077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200333320151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44388021 + ... + 44392533.

Almost surely, 2200333320101 is an apocalyptic number.

It is an amenable number.

200333320101 is a deficient number, since it is larger than the sum of its proper divisors (89369620595).

200333320101 is a wasteful number, since it uses less digits than its factorization.

200333320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9090 counting only the distinct ones).

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

Adding to 200333320101 its reverse (101023333002), we get a palindrome (301356653103).

The spelling of 200333320101 in words is "two hundred billion, three hundred thirty-three million, three hundred twenty thousand, one hundred one".

Divisors: 1 3 9 1741 2833 4513 5223 8499 13539 15669 25497 40617 4932253 7857133 12785329 14796759 23571399 38355987 44390277 70714197 115067961 22259257789 66777773367 200333320101