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21210102112 = 25617322039
BaseRepresentation
bin10011110000001110…
…000111100101100000
32000202011112211021111
4103300032013211200
5321414241231422
613424354033104
71350414615253
oct236016074540
960664484244
1021210102112
118aa4605711
12413b278794
1320002c82a4
141052cc509a
158420eea77
hex4f0387960

21210102112 has 72 divisors (see below), whose sum is σ = 43052400720. Its totient is φ = 10283258880.

The previous prime is 21210102107. The next prime is 21210102113. The reversal of 21210102112 is 21120101212.

It is a junction number, because it is equal to n+sod(n) for n = 21210102092 and 21210102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210102113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10401189 + ... + 10403227.

It is an arithmetic number, because the mean of its divisors is an integer number (597950010).

Almost surely, 221210102112 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 21210102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21526200360).

21210102112 is an abundant number, since it is smaller than the sum of its proper divisors (21842298608).

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

21210102112 is an equidigital number, since it uses as much as digits as its factorization.

21210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21210102112 its reverse (21120101212), we get a palindrome (42330203324).

The spelling of 21210102112 in words is "twenty-one billion, two hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 73 122 146 244 292 488 584 976 1168 1952 2039 2336 4078 4453 5329 8156 8906 10658 16312 17812 21316 32624 35624 42632 65248 71248 85264 124379 142496 148847 170528 248758 297694 325069 497516 595388 650138 995032 1190776 1300276 1990064 2381552 2600552 3980128 4763104 5201104 9079667 10402208 10865831 18159334 21731662 36318668 43463324 72637336 86926648 145274672 173853296 290549344 347706592 662815691 1325631382 2651262764 5302525528 10605051056 21210102112