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21112110211122 = 2327312174356327
BaseRepresentation
bin1001100110011100010111…
…10101000110000000110010
32202202022001021000201222100
410303032023311012000302
510231400100203223442
6112522434115321230
74306204525604250
oct463161365060062
982668037021870
1021112110211122
1167aa660905977
12244b802bb0216
13ba1b2c000cb8
1452db8dc315d0
15269293ac784c
hex13338bd46032

21112110211122 has 72 divisors (see below), whose sum is σ = 54018380115648. Its totient is φ = 5837449794480.

The previous prime is 21112110211111. The next prime is 21112110211169. The reversal of 21112110211122 is 22111201121112.

It is a happy number.

21112110211122 is a `hidden beast` number, since 211 + 12 + 110 + 211 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21112110211095 and 21112110211104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87057078 + ... + 87299249.

It is an arithmetic number, because the mean of its divisors is an integer number (750255279384).

Almost surely, 221112110211122 is an apocalyptic number.

21112110211122 is an abundant number, since it is smaller than the sum of its proper divisors (32906269904526).

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

21112110211122 is a wasteful number, since it uses less digits than its factorization.

21112110211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174356404 (or 174356370 counting only the distinct ones).

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

Adding to 21112110211122 its reverse (22111201121112), we get a palindrome (43223311332234).

The spelling of 21112110211122 in words is "twenty-one trillion, one hundred twelve billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 961 1302 1922 1953 2883 3906 5766 6727 8649 13454 17298 20181 40362 60543 121086 174356327 348712654 523068981 1046137962 1220494289 1569206943 2440988578 3138413886 3661482867 5405046137 7322965734 10810092274 10984448601 16215138411 21968897202 32430276822 37835322959 48645415233 75670645918 97290830466 113505968877 167556430247 227011937754 335112860494 340517906631 502669290741 681035813262 1005338581482 1172895011729 1508007872223 2345790023458 3016015744446 3518685035187 7037370070374 10556055105561 21112110211122