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312214300500 = 223531371519291
BaseRepresentation
bin1001000101100010110…
…11000010011101010100
31002211212202021210010010
410202301123002131110
520103403330104000
6355232420000220
731361650524024
oct4426133023524
91084782253103
10312214300500
11110455919023
1250613b30070
13235984b685b
141117b3c5a84
1581c4b60d50
hex48b16c2754

312214300500 has 96 divisors (see below), whose sum is σ = 915804908928. Its totient is φ = 82649376000.

The previous prime is 312214300483. The next prime is 312214300507. The reversal of 312214300500 is 5003412213.

312214300500 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312214300507) 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 31 ways as a sum of consecutive naturals, for example, 554146 + ... + 965145.

It is an arithmetic number, because the mean of its divisors is an integer number (9539634468).

Almost surely, 2312214300500 is an apocalyptic number.

312214300500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312214300500 is an abundant number, since it is smaller than the sum of its proper divisors (603590608428).

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

312214300500 is a wasteful number, since it uses less digits than its factorization.

312214300500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519450 (or 1519438 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 312214300500 its reverse (5003412213), we get a palindrome (317217712713).

The spelling of 312214300500 in words is "three hundred twelve billion, two hundred fourteen million, three hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 137 150 250 274 300 375 411 500 548 685 750 822 1370 1500 1644 2055 2740 3425 4110 6850 8220 10275 13700 17125 20550 34250 41100 51375 68500 102750 205500 1519291 3038582 4557873 6077164 7596455 9115746 15192910 18231492 22789365 30385820 37982275 45578730 75964550 91157460 113946825 151929100 189911375 208142867 227893650 379822750 416285734 455787300 569734125 624428601 759645500 832571468 1040714335 1139468250 1248857202 2081428670 2278936500 2497714404 3122143005 4162857340 5203571675 6244286010 10407143350 12488572020 15610715025 20814286700 26017858375 31221430050 52035716750 62442860100 78053575125 104071433500 156107150250 312214300500