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21110211112212 = 22321923743901681
BaseRepresentation
bin1001100110011000110101…
…01000100110110100010100
32202202010010220112112000200
410303030122220212310110
510231332203021042322
6112521521435140500
74306106465536605
oct463143250466424
982663126475020
1021110211112212
1167a9876915842
12244b372ba4730
13ba18b8724631
1452da4d91ddac
152691d1ee68ac
hex13331aa26d14

21110211112212 has 108 divisors (see below), whose sum is σ = 57840378231636. Its totient is φ = 6486209809920.

The previous prime is 21110211112201. The next prime is 21110211112213. The reversal of 21110211112212 is 21221111201112.

It is a happy number.

21110211112212 is a `hidden beast` number, since 21 + 110 + 211 + 112 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8748841128336 + 12361369983876 = 2957844^2 + 3515874^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110211112213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21469989 + ... + 22431692.

Almost surely, 221110211112212 is an apocalyptic number.

It is an amenable number.

21110211112212 is an abundant number, since it is smaller than the sum of its proper divisors (36730167119424).

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

21110211112212 is a wasteful number, since it uses less digits than its factorization.

21110211112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43901766 (or 43901742 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21110211112212 its reverse (21221111201112), we get a palindrome (42331322313324).

The spelling of 21110211112212 in words is "twenty-one trillion, one hundred ten billion, two hundred eleven million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 361 444 666 684 703 722 1083 1332 1406 1444 2109 2166 2812 3249 4218 4332 6327 6498 8436 12654 12996 13357 25308 26714 40071 53428 80142 120213 160284 240426 480852 43901681 87803362 131705043 175606724 263410086 395115129 526820172 790230258 834131939 1580460516 1624362197 1668263878 2502395817 3248724394 3336527756 4873086591 5004791634 6497448788 7507187451 9746173182 10009583268 14619259773 15014374902 15848506841 19492346364 29238519546 30028749804 30862881743 31697013682 47545520523 58477039092 61725763486 63394027364 92588645229 95091041046 123451526972 142636561569 185177290458 190182082092 277765935687 285273123138 370354580916 555531871374 570546246276 586394753117 1111063742748 1172789506234 1759184259351 2345579012468 3518368518702 5277552778053 7036737037404 10555105556106 21110211112212