Search a number
-
+
1001305430 = 251133492539
BaseRepresentation
bin111011101011101…
…011010101010110
32120210010120211022
4323223223111112
54022313233210
6243205241142
733545645546
oct7353532526
92523116738
101001305430
11474235654
1223b4031b2
1312c5a6428
1496dab326
155cd8d155
hex3baeb556

1001305430 has 32 divisors (see below), whose sum is σ = 1824228000. Its totient is φ = 395684352.

The previous prime is 1001305411. The next prime is 1001305451. The reversal of 1001305430 is 345031001.

It is a super-2 number, since 2×10013054302 = 2005225128294969800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001305399 and 1001305408.

It is a congruent number.

It is an unprimeable number.

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, 393101 + ... + 395639.

It is an arithmetic number, because the mean of its divisors is an integer number (57007125).

Almost surely, 21001305430 is an apocalyptic number.

1001305430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001305430 is a deficient number, since it is larger than the sum of its proper divisors (822922570).

1001305430 is a wasteful number, since it uses less digits than its factorization.

1001305430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1001305430 is about 31643.4105304722. The cubic root of 1001305430 is about 1000.4349541208.

Adding to 1001305430 its reverse (345031001), we get a palindrome (1346336431).

The spelling of 1001305430 in words is "one billion, one million, three hundred five thousand, four hundred thirty".

Divisors: 1 2 5 10 113 226 349 565 698 1130 1745 2539 3490 5078 12695 25390 39437 78874 197185 286907 394370 573814 886111 1434535 1772222 2869070 4430555 8861110 100130543 200261086 500652715 1001305430