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212431001200 = 24521148279773
BaseRepresentation
bin1100010111010111011…
…1111101011001110000
3202022022200101222100021
43011311313331121300
511440024314014300
6241331153333224
721230144501005
oct3056567753160
9668280358307
10212431001200
1182100842410
1235206867214
131705585aba2
14a3d30538ac
1557d497dd1a
hex3175dfd670

212431001200 has 60 divisors (see below), whose sum is σ = 556762353768. Its totient is φ = 77247635200.

The previous prime is 212431001179. The next prime is 212431001269. The reversal of 212431001200 is 2100134212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24135487 + ... + 24144286.

Almost surely, 2212431001200 is an apocalyptic number.

212431001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212431001200 is an abundant number, since it is smaller than the sum of its proper divisors (344331352568).

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

212431001200 is a wasteful number, since it uses less digits than its factorization.

212431001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48279802 (or 48279791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212431001200 its reverse (2100134212), we get a palindrome (214531135412).

The spelling of 212431001200 in words is "two hundred twelve billion, four hundred thirty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 48279773 96559546 193119092 241398865 386238184 482797730 531077503 772476368 965595460 1062155006 1206994325 1931190920 2124310012 2413988650 2655387515 3862381840 4248620024 4827977300 5310775030 8497240048 9655954600 10621550060 13276937575 19311909200 21243100120 26553875150 42486200240 53107750300 106215500600 212431001200