Search a number
-
+
212442300312 = 233111017967383
BaseRepresentation
bin1100010111011010001…
…1000011111110011000
3202022100110200000210220
43011312203003332120
511440040212102222
6241332235440040
721230342521014
oct3056643037630
9668313600726
10212442300312
118210715a620
123520a5b6020
1317057cb5b58
14a3d4755544
1557d5961b5c
hex31768c3f98

212442300312 has 64 divisors (see below), whose sum is σ = 585124680960. Its totient is φ = 63739056000.

The previous prime is 212442300307. The next prime is 212442300331. The reversal of 212442300312 is 213003244212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3957028 + ... + 4010355.

It is an arithmetic number, because the mean of its divisors is an integer number (9142573140).

Almost surely, 2212442300312 is an apocalyptic number.

212442300312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212442300312 is an abundant number, since it is smaller than the sum of its proper divisors (372682380648).

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

212442300312 is a wasteful number, since it uses less digits than its factorization.

212442300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967504 (or 7967500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212442300312 its reverse (213003244212), we get a palindrome (425445544524).

The spelling of 212442300312 in words is "two hundred twelve billion, four hundred forty-two million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 7967383 15934766 23902149 31869532 47804298 63739064 87641213 95608596 175282426 191217192 262923639 350564852 525847278 701129704 804705683 1051694556 1609411366 2103389112 2414117049 3218822732 4828234098 6437645464 8851762513 9656468196 17703525026 19312936392 26555287539 35407050052 53110575078 70814100104 106221150156 212442300312