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21212112101020 = 22517281222023363
BaseRepresentation
bin1001101001010110101000…
…11010000001111010011100
32210002212011120020002200021
410310223110122001322130
510240014401144213040
6113040413151041524
74316344624623541
oct464532432017234
983085146202607
1021212112101020
116839008311975
1224670715102a4
13bab3a8022a09
14534959224bc8
1526bb9808724a
hex134ad4681e9c

21212112101020 has 48 divisors (see below), whose sum is σ = 47333605017888. Its totient is φ = 7957317294080.

The previous prime is 21212112101017. The next prime is 21212112101023. The reversal of 21212112101020 is 2010121121212.

It is an interprime number because it is at equal distance from previous prime (21212112101017) and next prime (21212112101023).

It is a junction number, because it is equal to n+sod(n) for n = 21212112100985 and 21212112101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212112101023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110916142 + ... + 111107221.

It is an arithmetic number, because the mean of its divisors is an integer number (986116771206).

Almost surely, 221212112101020 is an apocalyptic number.

21212112101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212112101020 is an abundant number, since it is smaller than the sum of its proper divisors (26121492916868).

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

21212112101020 is a wasteful number, since it uses less digits than its factorization.

21212112101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222023670 (or 222023668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21212112101020 its reverse (2010121121212), we get a palindrome (23222233222232).

The spelling of 21212112101020 in words is "twenty-one trillion, two hundred twelve billion, one hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 281 340 562 1124 1405 2810 4777 5620 9554 19108 23885 47770 95540 222023363 444046726 888093452 1110116815 2220233630 3774397171 4440467260 7548794342 15097588684 18871985855 37743971710 62388565003 75487943420 124777130006 249554260012 311942825015 623885650030 1060605605051 1247771300060 2121211210102 4242422420204 5303028025255 10606056050510 21212112101020