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2130330320 = 24526629129
BaseRepresentation
bin111111011111010…
…0100001011010000
312111110120222210222
41332332210023100
513330331032240
6551220212212
7103535336366
oct17676441320
95443528728
102130330320
119a3574778
124b553a068
1327c47a2b1
14162d03636
15c7058eb5
hex7efa42d0

2130330320 has 20 divisors (see below), whose sum is σ = 4953018180. Its totient is φ = 852132096.

The previous prime is 2130330317. The next prime is 2130330329. The reversal of 2130330320 is 230330312.

It can be written as a sum of positive squares in 2 ways, for example, as 482944576 + 1647385744 = 21976^2 + 40588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×21303303202 = 9076614544622604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130330329) 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 3 ways as a sum of consecutive naturals, for example, 13314485 + ... + 13314644.

It is an arithmetic number, because the mean of its divisors is an integer number (247650909).

Almost surely, 22130330320 is an apocalyptic number.

2130330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130330320 is an abundant number, since it is smaller than the sum of its proper divisors (2822687860).

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

2130330320 is a wasteful number, since it uses less digits than its factorization.

2130330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26629142 (or 26629136 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2130330320 is about 46155.5015139041. The cubic root of 2130330320 is about 1286.7148588474.

Adding to 2130330320 its reverse (230330312), we get a palindrome (2360660632).

The spelling of 2130330320 in words is "two billion, one hundred thirty million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26629129 53258258 106516516 133145645 213033032 266291290 426066064 532582580 1065165160 2130330320