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212101433344 = 211239577751
BaseRepresentation
bin1100010110001000111…
…0110000100000000000
3202021110201021012020101
43011202032300200000
511433340431331334
6241234341452144
721216033302533
oct3054216604000
9667421235211
10212101433344
1181a51803189
1235134411054
13170024a9a18
14a3a1384a1a
1557b5a7e214
hex31623b0800

212101433344 has 96 divisors (see below), whose sum is σ = 427179916800. Its totient is φ = 105283584000.

The previous prime is 212101433333. The next prime is 212101433359. The reversal of 212101433344 is 443334101212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282424969 + ... + 282425719.

It is an arithmetic number, because the mean of its divisors is an integer number (4449790800).

Almost surely, 2212101433344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213589958400).

212101433344 is an abundant number, since it is smaller than the sum of its proper divisors (215078483456).

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

212101433344 is an equidigital number, since it uses as much as digits as its factorization.

212101433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 212101433344 its reverse (443334101212), we get a palindrome (655435534556).

The spelling of 212101433344 in words is "two hundred twelve billion, one hundred one million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 512 577 751 956 1024 1154 1502 1912 2048 2308 3004 3824 4616 6008 7648 9232 12016 15296 18464 24032 30592 36928 48064 61184 73856 96128 122368 137903 147712 179489 192256 244736 275806 295424 358978 384512 433327 489472 551612 590848 717956 769024 866654 1103224 1181696 1435912 1538048 1733308 2206448 2871824 3466616 4412896 5743648 6933232 8825792 11487296 13866464 17651584 22974592 27732928 35303168 45949184 55465856 70606336 91898368 103565153 110931712 141212672 183796736 207130306 221863424 282425344 367593472 414260612 443726848 828521224 887453696 1657042448 3314084896 6628169792 13256339584 26512679168 53025358336 106050716672 212101433344