[go: up one dir, main page]

Search a number
-
+
1001300221 = 17539411181
BaseRepresentation
bin111011101011101…
…010000011111101
32120210010022200101
4323223222003331
54022313101341
6243205201101
733545624425
oct7353520375
92523108611
101001300221
11474231749
1223b400191
1312c5a3c4c
1496da9485
155cd8b831
hex3baea0fd

1001300221 has 16 divisors (see below), whose sum is σ = 1082267568. Its totient is φ = 922854400.

The previous prime is 1001300207. The next prime is 1001300233. The reversal of 1001300221 is 1220031001.

It can be written as a sum of positive squares in 8 ways, for example, as 291077721 + 710222500 = 17061^2 + 26650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001300221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001300198 and 1001300207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001300281) 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 15 ways as a sum of consecutive naturals, for example, 847251 + ... + 848431.

It is an arithmetic number, because the mean of its divisors is an integer number (67641723).

Almost surely, 21001300221 is an apocalyptic number.

It is an amenable number.

1001300221 is a deficient number, since it is larger than the sum of its proper divisors (80967347).

1001300221 is a wasteful number, since it uses less digits than its factorization.

1001300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1001300221 is about 31643.3282225495. The cubic root of 1001300221 is about 1000.4332192939.

Adding to 1001300221 its reverse (1220031001), we get a palindrome (2221331222).

The spelling of 1001300221 in words is "one billion, one million, three hundred thousand, two hundred twenty-one".

Divisors: 1 17 53 901 941 1181 15997 20077 49873 62593 847841 1064081 1111321 18892457 58900013 1001300221