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21112201012212 = 22327310617571689
BaseRepresentation
bin1001100110011100100010…
…01111011110001111110100
32202202022021120212220122200
410303032101033132033310
510231400241424342322
6112522451121424500
74306210010444412
oct463162117361764
982668246786580
1021112201012212
1167aa6a80940a2
12244b82949b130
13ba1b44a7375b
1452db9bd0a2b2
1526929ba618ac
hex1333913de3f4

21112201012212 has 72 divisors (see below), whose sum is σ = 54149001608520. Its totient is φ = 6934454737920.

The previous prime is 21112201012169. The next prime is 21112201012249. The reversal of 21112201012212 is 21221010221112.

21112201012212 is a `hidden beast` number, since 211 + 1 + 220 + 10 + 1 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10514480700816 + 10597720311396 = 3242604^2 + 3255414^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997537 + ... + 6574152.

It is an arithmetic number, because the mean of its divisors is an integer number (752069466785).

Almost surely, 221112201012212 is an apocalyptic number.

It is an amenable number.

21112201012212 is an abundant number, since it is smaller than the sum of its proper divisors (33036800596308).

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

21112201012212 is a wasteful number, since it uses less digits than its factorization.

21112201012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572833 (or 7572828 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112201012212 its reverse (21221010221112), we get a palindrome (42333211233324).

The spelling of 21112201012212 in words is "twenty-one trillion, one hundred twelve billion, two hundred one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1061 1314 2122 2628 3183 4244 6366 9549 12732 19098 38196 77453 154906 232359 309812 464718 697077 929436 1394154 2788308 7571689 15143378 22715067 30286756 45430134 68145201 90860268 136290402 272580804 552733297 1105466594 1658199891 2210933188 3316399782 4974599673 6632799564 8033562029 9949199346 16067124058 19898398692 24100686087 32134248116 48201372174 72302058261 96402744348 144604116522 289208233044 586450028117 1172900056234 1759350084351 2345800112468 3518700168702 5278050253053 7037400337404 10556100506106 21112201012212