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212021113332 = 223717197375253
BaseRepresentation
bin1100010101110101110…
…0010111000111110100
3202021021010010111220010
43011131130113013310
511433204401111312
6241222352140220
721214036504440
oct3053534270764
9667233114803
10212021113332
1181a10433606
1235111537670
1316cbb966aa2
14a394837820
1557ad9b593c
hex315d7171f4

212021113332 has 96 divisors (see below), whose sum is σ = 598959228672. Its totient is φ = 56984426496.

The previous prime is 212021113321. The next prime is 212021113351. The reversal of 212021113332 is 233311120212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 212021113299 and 212021113308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2779818 + ... + 2855070.

It is an arithmetic number, because the mean of its divisors is an integer number (6239158632).

Almost surely, 2212021113332 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 212021113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299479614336).

212021113332 is an abundant number, since it is smaller than the sum of its proper divisors (386938115340).

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

212021113332 is a wasteful number, since it uses less digits than its factorization.

212021113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77257 (or 77255 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212021113332 its reverse (233311120212), we get a palindrome (445332233544).

The spelling of 212021113332 in words is "two hundred twelve billion, twenty-one million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1973 3946 5919 7892 11838 13811 23676 27622 33541 41433 55244 67082 75253 82866 100623 134164 150506 165732 201246 225759 234787 301012 402492 451518 469574 526771 704361 903036 939148 1053542 1279301 1408722 1580313 2107084 2558602 2817444 3160626 3837903 5117204 6321252 7675806 8955107 15351612 17910214 26865321 35820428 53730642 107461284 148474169 296948338 445422507 593896676 890845014 1039319183 1781690028 2078638366 2524060873 3117957549 4157276732 5048121746 6235915098 7572182619 10096243492 12471830196 15144365238 17668426111 30288730476 35336852222 53005278333 70673704444 106010556666 212021113332