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211242024312 = 233111045776519
BaseRepresentation
bin1100010010111100000…
…0010111110101111000
3202012020211010200200020
43010233000113311320
511430110424234222
6241013201410440
721155526403044
oct3045700276570
9665224120606
10211242024312
1181650685490
1234b34639a20
1316bc6425b77
14a31d193024
1557653be65c
hex312f017d78

211242024312 has 64 divisors (see below), whose sum is σ = 576177235200. Its totient is φ = 64005776640.

The previous prime is 211242024311. The next prime is 211242024317. The reversal of 211242024312 is 213420242112.

211242024312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211242024311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722389 + ... + 2798907.

It is an arithmetic number, because the mean of its divisors is an integer number (9002769300).

Almost surely, 2211242024312 is an apocalyptic number.

211242024312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211242024312 is an abundant number, since it is smaller than the sum of its proper divisors (364935210888).

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

211242024312 is a wasteful number, since it uses less digits than its factorization.

211242024312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86996 (or 86992 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211242024312 its reverse (213420242112), we get a palindrome (424662266424).

The spelling of 211242024312 in words is "two hundred eleven billion, two hundred forty-two million, twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 10457 20914 31371 41828 62742 76519 83656 115027 125484 153038 229557 230054 250968 306076 345081 459114 460108 612152 690162 841709 918228 920216 1380324 1683418 1836456 2525127 2760648 3366836 5050254 6733672 10100508 20201016 800159183 1600318366 2400477549 3200636732 4800955098 6401273464 8801751013 9601910196 17603502026 19203820392 26405253039 35207004052 52810506078 70414008104 105621012156 211242024312