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21220111010112 = 263779199857887
BaseRepresentation
bin1001101001100101100010…
…01011011100100101000000
32210010121211000120210010120
410310302301023130211000
510240132241404310422
6113044215011300240
74320050063341320
oct464626113344500
983117730523116
1021220111010112
116841442504743
1224687242aa680
13bac081273411
145350b76c7280
1526beb541945c
hex134cb12dc940

21220111010112 has 112 divisors (see below), whose sum is σ = 64977796546560. Its totient is φ = 5986143401472.

The previous prime is 21220111010101. The next prime is 21220111010123. The reversal of 21220111010112 is 21101011102212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21220111010101) and next prime (21220111010123).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×212201110101122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21220111010091 and 21220111010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99822768 + ... + 100035119.

Almost surely, 221220111010112 is an apocalyptic number.

It is an amenable number.

21220111010112 is an abundant number, since it is smaller than the sum of its proper divisors (43757685536448).

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

21220111010112 is a wasteful number, since it uses less digits than its factorization.

21220111010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199857988 (or 199857978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21220111010112 its reverse (21101011102212), we get a palindrome (42321122112324).

The spelling of 21220111010112 in words is "twenty-one trillion, two hundred twenty billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 948 1106 1264 1344 1659 1896 2212 2528 3318 3792 4424 5056 6636 7584 8848 13272 15168 17696 26544 35392 53088 106176 199857887 399715774 599573661 799431548 1199147322 1399005209 1598863096 2398294644 2798010418 3197726192 4197015627 4796589288 5596020836 6395452384 8394031254 9593178576 11192041672 12790904768 15788773073 16788062508 19186357152 22384083344 31577546146 33576125016 38372714304 44768166688 47366319219 63155092292 67152250032 89536333376 94732638438 110521411511 126310184584 134304500064 189465276876 221042823022 252620369168 268609000128 331564234533 378930553752 442085646044 505240738336 663128469066 757861107504 884171292088 1010481476672 1326256938132 1515722215008 1768342584176 2652513876264 3031444430016 3536685168352 5305027752528 7073370336704 10610055505056 21220111010112