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21220211202212 = 221110131347931849
BaseRepresentation
bin1001101001100101101110…
…01001101001100010100100
32210010122002000010001212002
410310302313021221202210
510240132443031432322
6113044232550544432
74320052421063501
oct464626711514244
983118060101762
1021220211202212
116841494017530
122468751968118
13bac098c53499
145350c6b284a8
1526bebe10ac92
hex134cb72698a4

21220211202212 has 96 divisors (see below), whose sum is σ = 41130101376000. Its totient is φ = 9499366656000.

The previous prime is 21220211202167. The next prime is 21220211202383.

21220211202212 is nontrivially palindromic in base 10.

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, 666259664 + ... + 666291512.

It is an arithmetic number, because the mean of its divisors is an integer number (428438556000).

Almost surely, 221220211202212 is an apocalyptic number.

21220211202212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21220211202212 is a deficient number, since it is larger than the sum of its proper divisors (19909890173788).

21220211202212 is a wasteful number, since it uses less digits than its factorization.

21220211202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32757 (or 32755 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2122021 and 1202212, that added together give a palindrome (3324233).

The spelling of 21220211202212 in words is "twenty-one trillion, two hundred twenty billion, two hundred eleven million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 101 202 313 404 479 626 958 1111 1252 1916 2222 3443 4444 5269 6886 10538 13772 21076 31613 31849 48379 63226 63698 96758 126452 127396 149927 193516 299854 347743 350339 532169 599708 695486 700678 1064338 1390972 1401356 1649197 2128676 3216749 3298394 6433498 6596788 9968737 12866996 15142627 15255671 19937474 30285254 30511342 35384239 39874948 60570508 61022684 70768478 109656107 141536956 166568897 167812381 219312214 333137794 335624762 438624428 666275588 671249524 1006842437 1540822771 2013684874 3081645542 4027369748 4775025023 6163291084 9550050046 11075266807 16949050481 19100100092 22150533614 33898100962 44301067228 52525275253 67796201924 105050550506 210101101012 482277527323 964555054646 1929110109292 5305052800553 10610105601106 21220211202212