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312233030200 = 235271317155661
BaseRepresentation
bin1001000101100101000…
…10011111001000111000
31002211221001112100102201
410202302202133020320
520103423123431300
6355234325235544
731362265652410
oct4426242371070
91084831470381
10312233030200
11110465450a13
125061a262bb4
132359c343a10
141117da9d640
1581c661066a
hex48b289f238

312233030200 has 96 divisors (see below), whose sum is σ = 893466876960. Its totient is φ = 98816601600.

The previous prime is 312233030189. The next prime is 312233030231. The reversal of 312233030200 is 2030332213.

It is a happy number.

It is a super-2 number, since 2×3122330302002 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 8559631 + ... + 8596030.

It is an arithmetic number, because the mean of its divisors is an integer number (9306946635).

Almost surely, 2312233030200 is an apocalyptic number.

It is an amenable number.

312233030200 is an abundant number, since it is smaller than the sum of its proper divisors (581233846760).

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

312233030200 is a wasteful number, since it uses less digits than its factorization.

312233030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17155697 (or 17155688 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 312233030200 its reverse (2030332213), we get a palindrome (314263362413).

The spelling of 312233030200 in words is "three hundred twelve billion, two hundred thirty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 17155661 34311322 68622644 85778305 120089627 137245288 171556610 223023593 240179254 343113220 428891525 446047186 480358508 600448135 686226440 857783050 892094372 960717016 1115117965 1200896270 1561165151 1715566100 1784188744 2230235930 2401792540 3002240675 3122330302 3431132200 4460471860 4803585080 5575589825 6004481350 6244660604 7805825755 8920943720 11151179650 12008962700 12489321208 15611651510 22302359300 24017925400 31223303020 39029128775 44604718600 62446606040 78058257550 156116515100 312233030200