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21011210102112 = 253834133638023
BaseRepresentation
bin1001100011100000011011…
…01101101110010101100000
32202101122121100200010021220
410301300031231232111200
510223221424241231422
6112404230000015040
74266003242044236
oct461601555562540
982348540603256
1021011210102112
11677089338362a
122434143901480
13b9546bb8a399
14528d3b426956
1526683a83de5c
hex131c0db6e560

21011210102112 has 96 divisors (see below), whose sum is σ = 55832530860288. Its totient is φ = 6917669316096.

The previous prime is 21011210101891. The next prime is 21011210102177. The reversal of 21011210102112 is 21120101211012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×210112101021122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21011210102091 and 21011210102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32612733 + ... + 33250755.

It is an arithmetic number, because the mean of its divisors is an integer number (581588863128).

Almost surely, 221011210102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011210102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27916265430144).

21011210102112 is an abundant number, since it is smaller than the sum of its proper divisors (34821320758176).

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

21011210102112 is a wasteful number, since it uses less digits than its factorization.

21011210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642252 (or 642244 counting only the distinct ones).

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

Adding to 21011210102112 its reverse (21120101211012), we get a palindrome (42131311313124).

The spelling of 21011210102112 in words is "twenty-one trillion, eleven billion, two hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 4133 7968 8266 12399 16532 24798 33064 49596 66128 99192 132256 198384 343039 396768 638023 686078 1029117 1276046 1372156 1914069 2058234 2552092 2744312 3828138 4116468 5104184 5488624 7656276 8232936 10208368 10977248 15312552 16465872 20416736 30625104 32931744 52955909 61250208 105911818 158867727 211823636 317735454 423647272 635470908 847294544 1270941816 1694589088 2541883632 2636949059 5083767264 5273898118 7910847177 10547796236 15821694354 21095592472 31643388708 42191184944 63286777416 84382369888 126573554832 218866771897 253147109664 437733543794 656600315691 875467087588 1313200631382 1750934175176 2626401262764 3501868350352 5252802525528 7003736700704 10505605051056 21011210102112