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1000304130 = 235721374967
BaseRepresentation
bin111011100111110…
…110111000000010
32120201020201022010
4323213312320002
54022034213010
6243131553350
733534305400
oct7347667002
92521221263
101000304130
11473711331
1223abbb856
1312c315747
1496bca470
155cc41620
hex3b9f6e02

1000304130 has 96 divisors (see below), whose sum is σ = 2813636736. Its totient is φ = 226926336.

The previous prime is 1000304119. The next prime is 1000304143. The reversal of 1000304130 is 314030001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198907 + ... + 203873.

It is an arithmetic number, because the mean of its divisors is an integer number (29308716).

Almost surely, 21000304130 is an apocalyptic number.

1000304130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000304130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406818368).

1000304130 is an abundant number, since it is smaller than the sum of its proper divisors (1813332606).

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

1000304130 is a wasteful number, since it uses less digits than its factorization.

1000304130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000304130 is about 31627.5849536445. The cubic root of 1000304130 is about 1000.1013663912.

Adding to 1000304130 its reverse (314030001), we get a palindrome (1314334131).

The spelling of 1000304130 in words is "one billion, three hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 137 147 210 245 274 294 411 490 685 735 822 959 1370 1470 1918 2055 2877 4110 4795 4967 5754 6713 9590 9934 13426 14385 14901 20139 24835 28770 29802 33565 34769 40278 49670 67130 69538 74505 100695 104307 149010 173845 201390 208614 243383 347690 486766 521535 680479 730149 1043070 1216915 1360958 1460298 2041437 2433830 3402395 3650745 4082874 4763353 6804790 7301490 9526706 10207185 14290059 20414370 23816765 28580118 33343471 47633530 66686942 71450295 100030413 142900590 166717355 200060826 333434710 500152065 1000304130