Search a number
-
+
212320320021200 = 24523714345967569
BaseRepresentation
bin110000010001101010101101…
…010000001110001011010000
31000211202121212011100012220202
4300101222231100032023100
5210312124003411134300
62031322335233154332
762502431313514046
oct6021525520161320
91024677764305822
10212320320021200
11617195a65220a6
121b9911256bb9a8
139161949572a41
143a60503332396
151982e13550ad5
hexc11aad40e2d0

212320320021200 has 60 divisors (see below), whose sum is σ = 523886043721260. Its totient is φ = 82632773191680.

The previous prime is 212320320021197. The next prime is 212320320021217. The reversal of 212320320021200 is 2120023023212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2707025252416 + 209613294768784 = 1645304^2 + 14478028^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7172968985 + ... + 7172998584.

It is an arithmetic number, because the mean of its divisors is an integer number (8731434062021).

Almost surely, 2212320320021200 is an apocalyptic number.

212320320021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320320021200 is an abundant number, since it is smaller than the sum of its proper divisors (311565723700060).

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

212320320021200 is a wasteful number, since it uses less digits than its factorization.

212320320021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345967624 (or 14345967613 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212320320021200 its reverse (2120023023212), we get a palindrome (214440343044412).

The spelling of 212320320021200 in words is "two hundred twelve trillion, three hundred twenty billion, three hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 14345967569 28691935138 57383870276 71729837845 114767740552 143459675690 229535481104 286919351380 358649189225 530800800053 573838702760 717298378450 1061601600106 1147677405520 1434596756900 2123203200212 2654004000265 2869193513800 4246406400424 5308008000530 5738387027600 8492812800848 10616016001060 13270020001325 21232032002120 26540040002650 42464064004240 53080080005300 106160160010600 212320320021200