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213230020212 = 223311223709433
BaseRepresentation
bin1100011010010101111…
…1111110011001110100
3202101101100220100101000
43012211133332121310
511443143341121322
6241542335203300
721256016160336
oct3064537763164
9671340810330
10213230020212
1182480873200
12353aa376530
13171522593c1
14a46b205456
15582ebb03ac
hex31a57fe674

213230020212 has 144 divisors (see below), whose sum is σ = 634063731840. Its totient is φ = 61805715840.

The previous prime is 213230020139. The next prime is 213230020229. The reversal of 213230020212 is 212020032312.

213230020212 is a `hidden beast` number, since 2 + 132 + 300 + 20 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 54153 + ... + 655280.

It is an arithmetic number, because the mean of its divisors is an integer number (4403220360).

Almost surely, 2213230020212 is an apocalyptic number.

213230020212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213230020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317031865920).

213230020212 is an abundant number, since it is smaller than the sum of its proper divisors (420833711628).

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

213230020212 is a wasteful number, since it uses less digits than its factorization.

213230020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709491 (or 709472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213230020212 its reverse (212020032312), we get a palindrome (425250052524).

It can be divided in two parts, 2132300 and 20212, that added together give a palindrome (2152512).

The spelling of 213230020212 in words is "two hundred thirteen billion, two hundred thirty million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 121 132 138 198 207 242 253 276 297 363 396 414 484 506 594 621 726 759 828 1012 1089 1188 1242 1452 1518 2178 2277 2484 2783 3036 3267 4356 4554 5566 6534 6831 8349 9108 11132 13068 13662 16698 25047 27324 33396 50094 75141 100188 150282 300564 709433 1418866 2128299 2837732 4256598 6384897 7803763 8513196 12769794 15607526 16316959 19154691 23411289 25539588 31215052 32633918 38309382 46822578 48950877 65267836 70233867 76618764 85841393 93645156 97901754 140467734 146852631 171682786 179486549 195803508 210701601 257524179 280935468 293705262 343365572 358973098 421403202 440557893 515048358 538459647 587410524 717946196 772572537 842806404 881115786 1030096716 1076919294 1545145074 1615378941 1762231572 1974352039 2153838588 2317717611 3090290148 3230757882 3948704078 4635435222 4846136823 5923056117 6461515764 7897408156 9270870444 9692273646 11846112234 17769168351 19384547292 23692224468 35538336702 53307505053 71076673404 106615010106 213230020212