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212441444010 = 23351783557633
BaseRepresentation
bin1100010111011001111…
…1110010111010101010
3202022100102001112012000
43011312133302322222
511440040002202020
6241332205231430
721230332323345
oct3056637627252
9668312045160
10212441444010
1182106725234
123520a262576
1317057a76173
14a3d45b145c
1557d5843090
hex31767f2eaa

212441444010 has 128 divisors (see below), whose sum is σ = 607062677760. Its totient is φ = 52676149248.

The previous prime is 212441443969. The next prime is 212441444021. The reversal of 212441444010 is 10444144212.

It is a happy number.

212441444010 is a `hidden beast` number, since 2 + 1 + 244 + 14 + 4 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 102154 + ... + 659786.

It is an arithmetic number, because the mean of its divisors is an integer number (4742677170).

Almost surely, 2212441444010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212441444010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303531338880).

212441444010 is an abundant number, since it is smaller than the sum of its proper divisors (394621233750).

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

212441444010 is a wasteful number, since it uses less digits than its factorization.

212441444010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557749 (or 557743 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212441444010 its reverse (10444144212), we get a palindrome (222885588222).

The spelling of 212441444010 in words is "two hundred twelve billion, four hundred forty-one million, four hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 83 85 90 102 135 153 166 170 249 255 270 306 415 459 498 510 747 765 830 918 1245 1411 1494 1530 2241 2295 2490 2822 3735 4233 4482 4590 7055 7470 8466 11205 12699 14110 21165 22410 25398 38097 42330 63495 76194 126990 190485 380970 557633 1115266 1672899 2788165 3345798 5018697 5576330 8364495 9479761 10037394 15056091 16728990 18959522 25093485 28439283 30112182 46283539 47398805 50186970 56878566 75280455 85317849 92567078 94797610 138850617 142196415 150560910 170635698 231417695 255953547 277701234 284392830 416551851 426589245 462835390 511907094 694253085 786820163 833103702 853178490 1249655553 1279767735 1388506170 1573640326 2082759255 2360460489 2499311106 2559535470 3934100815 4165518510 4720920978 6248277765 7081381467 7868201630 11802302445 12496555530 14162762934 21244144401 23604604890 35406907335 42488288802 70813814670 106220722005 212441444010