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312020200200 = 233521927370193
BaseRepresentation
bin1001000101001011101…
…10100110101100001000
31002211101020001110120010
410202211312212230020
520103004132401300
6355201243431520
731354102640652
oct4424566465410
91084336043503
10312020200200
111103662a5655
125057ab255a0
13235672169c7
141115d6db6d2
1581b2abea50
hex48a5da6b08

312020200200 has 96 divisors (see below), whose sum is σ = 1018171216800. Its totient is φ = 78826152960.

The previous prime is 312020200169. The next prime is 312020200207. The reversal of 312020200200 is 2002020213.

312020200200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (312020200207) 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 23 ways as a sum of consecutive naturals, for example, 13673697 + ... + 13696496.

It is an arithmetic number, because the mean of its divisors is an integer number (10605950175).

Almost surely, 2312020200200 is an apocalyptic number.

312020200200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312020200200 is an abundant number, since it is smaller than the sum of its proper divisors (706151016600).

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

312020200200 is a wasteful number, since it uses less digits than its factorization.

312020200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27370231 (or 27370222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 312020200200 its reverse (2002020213), we get a palindrome (314022220413).

The spelling of 312020200200 in words is "three hundred twelve billion, twenty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 27370193 54740386 82110579 109480772 136850965 164221158 218961544 273701930 328442316 410552895 520033667 547403860 656884632 684254825 821105790 1040067334 1094807720 1368509650 1560101001 1642211580 2052764475 2080134668 2600168335 2737019300 3120202002 3284423160 4105528950 4160269336 5200336670 5474038600 6240404004 7800505005 8211057900 10400673340 12480808008 13000841675 15601010010 16422115800 20801346680 26001683350 31202020020 39002525025 52003366700 62404040040 78005050050 104006733400 156010100100 312020200200