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1000300221 = 32111144469
BaseRepresentation
bin111011100111110…
…101111010111101
32120201020111221100
4323213311322331
54022034101341
6243131523313
733534261114
oct7347657275
92521214840
101000300221
114737093a8
1223abb9539
1312c313a2b
1496bc8c7b
155cc403b6
hex3b9f5ebd

1000300221 has 6 divisors (see below), whose sum is σ = 1444878110. Its totient is φ = 666866808.

The previous prime is 1000300211. The next prime is 1000300237. The reversal of 1000300221 is 1220030001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 600740100 + 399560121 = 24510^2 + 19989^2 .

It is not a de Polignac number, because 1000300221 - 215 = 1000267453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111144469 = 1000300221 / (1 + 0 + 0 + 0 + 3 + 0 + 0 + 2 + 2 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000300211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55572226 + ... + 55572243.

Almost surely, 21000300221 is an apocalyptic number.

It is an amenable number.

1000300221 is a deficient number, since it is larger than the sum of its proper divisors (444577889).

1000300221 is a wasteful number, since it uses less digits than its factorization.

1000300221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111144475 (or 111144472 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000300221 is about 31627.5231562638. The cubic root of 1000300221 is about 1000.1000636536.

Adding to 1000300221 its reverse (1220030001), we get a palindrome (2220330222).

The spelling of 1000300221 in words is "one billion, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 111144469 333433407 1000300221