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320404134100 = 225216217197573
BaseRepresentation
bin1001010100110011001…
…00110001100011010100
31010122000111220102202111
410222121210301203110
520222141424242400
6403105220320404
732101625126641
oct4523144614324
91118014812674
10320404134100
11113978865246
125211a843104
13242a216473b
1411716d86dc8
158503b583ba
hex4a999318d4

320404134100 has 36 divisors (see below), whose sum is σ = 695323363644. Its totient is φ = 128153102080.

The previous prime is 320404134031. The next prime is 320404134143. The reversal of 320404134100 is 1431404023.

It can be written as a sum of positive squares in 6 ways, for example, as 29412936004 + 290991198096 = 171502^2 + 539436^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1522914 + ... + 1720486.

It is an arithmetic number, because the mean of its divisors is an integer number (19314537879).

Almost surely, 2320404134100 is an apocalyptic number.

It is an amenable number.

320404134100 is an abundant number, since it is smaller than the sum of its proper divisors (374919229544).

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

320404134100 is a wasteful number, since it uses less digits than its factorization.

320404134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213804 (or 213797 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 320404134100 its reverse (1431404023), we get a palindrome (321835538123).

The spelling of 320404134100 in words is "three hundred twenty billion, four hundred four million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 16217 32434 64868 81085 162170 197573 324340 395146 405425 790292 810850 987865 1621700 1975730 3951460 4939325 9878650 19757300 3204041341 6408082682 12816165364 16020206705 32040413410 64080826820 80101033525 160202067050 320404134100