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1003022130 = 2351129163643
BaseRepresentation
bin111011110010001…
…110011100110010
32120220100210200210
4323302032130302
54023233202010
6243310124550
733566355525
oct7362163462
92526323623
101003022130
114751a8410
1223bab0756
1312ca57926
14972d6bbc
155d0cbb20
hex3bc8e732

1003022130 has 128 divisors (see below), whose sum is σ = 2737566720. Its totient is φ = 232968960.

The previous prime is 1003022129. The next prime is 1003022131. The reversal of 1003022130 is 312203001.

It is a happy number.

1003022130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003022129) and next prime (1003022131).

It is not an unprimeable number, because it can be changed into a prime (1003022131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1559589 + ... + 1560231.

It is an arithmetic number, because the mean of its divisors is an integer number (21387240).

Almost surely, 21003022130 is an apocalyptic number.

1003022130 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 1003022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368783360).

1003022130 is an abundant number, since it is smaller than the sum of its proper divisors (1734544590).

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

1003022130 is a wasteful number, since it uses less digits than its factorization.

1003022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

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

The square root of 1003022130 is about 31670.5246246411. The cubic root of 1003022130 is about 1001.0063635593.

Adding to 1003022130 its reverse (312203001), we get a palindrome (1315225131).

The spelling of 1003022130 in words is "one billion, three million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 163 165 174 290 319 326 330 435 489 638 643 815 870 957 978 1286 1595 1630 1793 1914 1929 2445 3190 3215 3586 3858 4727 4785 4890 5379 6430 7073 8965 9454 9570 9645 10758 14146 14181 17930 18647 19290 21219 23635 26895 28362 35365 37294 42438 47270 51997 53790 55941 70730 70905 93235 103994 104809 106095 111882 141810 155991 186470 205117 209618 212190 259985 279705 311982 314427 410234 519970 524045 559410 615351 628854 779955 1025585 1048090 1152899 1230702 1559910 1572135 2051170 2305798 3039461 3076755 3144270 3458697 5764495 6078922 6153510 6917394 9118383 11528990 15197305 17293485 18236766 30394610 33434071 34586970 45591915 66868142 91183830 100302213 167170355 200604426 334340710 501511065 1003022130