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12312223300 = 22521353178697
BaseRepresentation
bin10110111011101110…
…11001111001000100
31011210001121202012101
423131313121321010
5200203412121200
65353421401444
7614052112516
oct133567317104
934701552171
1012312223300
115248a24663
122477409284
131212a52140
1484b293bb6
154c0d9626a
hex2dddd9e44

12312223300 has 72 divisors (see below), whose sum is σ = 29315764296. Its totient is φ = 4460252160.

The previous prime is 12312223271. The next prime is 12312223303. The reversal of 12312223300 is 332221321.

It can be written as a sum of positive squares in 12 ways, for example, as 1492895044 + 10819328256 = 38638^2 + 104016^2 .

It is not an unprimeable number, because it can be changed into a prime (12312223303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20449 + ... + 158248.

It is an arithmetic number, because the mean of its divisors is an integer number (407163393).

Almost surely, 212312223300 is an apocalyptic number.

12312223300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312223300 is an abundant number, since it is smaller than the sum of its proper divisors (17003540996).

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

12312223300 is a wasteful number, since it uses less digits than its factorization.

12312223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178777 (or 178770 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12312223300 its reverse (332221321), we get a palindrome (12644444621).

The spelling of 12312223300 in words is "twelve billion, three hundred twelve million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 530 650 689 1060 1300 1325 1378 2650 2756 3445 5300 6890 13780 17225 34450 68900 178697 357394 714788 893485 1786970 2323061 3573940 4467425 4646122 8934850 9292244 9470941 11615305 17869700 18941882 23230610 37883764 46461220 47354705 58076525 94709410 116153050 123122233 189418820 232306100 236773525 246244466 473547050 492488932 615611165 947094100 1231222330 2462444660 3078055825 6156111650 12312223300