Search a number
-
+
2012452330320 = 243252795072681
BaseRepresentation
bin11101010010001111100…
…000011001101101010000
321010101111021002202212100
4131102033200121231100
5230433000244032240
64140301405400400
7265252305365055
oct35221740315520
97111437082770
102012452330320
1170652696a973
1228603a269100
13117a09330473
146d5905b502c
15375362ebe30
hex1d48f819b50

2012452330320 has 60 divisors (see below), whose sum is σ = 6758485745076. Its totient is φ = 536653954560.

The previous prime is 2012452330303. The next prime is 2012452330337. The reversal of 2012452330320 is 230332542102.

2012452330320 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 5 + 2 + 330 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2012452330303) and next prime (2012452330337).

It can be written as a sum of positive squares in 2 ways, for example, as 1129220771904 + 883231558416 = 1062648^2 + 939804^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 1397535621 + ... + 1397537060.

Almost surely, 22012452330320 is an apocalyptic number.

2012452330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012452330320 is an abundant number, since it is smaller than the sum of its proper divisors (4746033414756).

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

2012452330320 is a wasteful number, since it uses less digits than its factorization.

2012452330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795072700 (or 2795072691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 2012452330320 its reverse (230332542102), we get a palindrome (2242784872422).

The spelling of 2012452330320 in words is "two trillion, twelve billion, four hundred fifty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2795072681 5590145362 8385218043 11180290724 13975363405 16770436086 22360581448 25155654129 27950726810 33540872172 41926090215 44721162896 50311308258 55901453620 67081744344 83852180430 100622616516 111802907240 125778270645 134163488688 167704360860 201245233032 223605814480 251556541290 335408721720 402490466064 503113082580 670817443440 1006226165160 2012452330320