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21210122120020 = 2252955765653817
BaseRepresentation
bin1001101001010010111011…
…10010110110101101010100
32210002200000212201120221021
410310221131302312231110
510240001312230320040
6113035443502530524
74316244412230631
oct464513562665524
983080025646837
1021210122120020
116838186a98779
1224667b6b96a44
13bab14b975a72
1453480ac17188
1526bacd50324a
hex134a5dcb6b54

21210122120020 has 48 divisors (see below), whose sum is σ = 46159886359440. Its totient is φ = 8176788859904.

The previous prime is 21210122119993. The next prime is 21210122120023. The reversal of 21210122120020 is 2002122101212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5620227972804 + 15589894147216 = 2370702^2 + 3948404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21210122119976 and 21210122120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210122120023) 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, 32503849 + ... + 33149968.

It is an arithmetic number, because the mean of its divisors is an integer number (961664299155).

Almost surely, 221210122120020 is an apocalyptic number.

21210122120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210122120020 is an abundant number, since it is smaller than the sum of its proper divisors (24949764239420).

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

21210122120020 is a wasteful number, since it uses less digits than its factorization.

21210122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65654412 (or 65654410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21210122120020 its reverse (2002122101212), we get a palindrome (23212244221232).

The spelling of 21210122120020 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 557 580 1114 2228 2785 5570 11140 16153 32306 64612 80765 161530 323060 65653817 131307634 262615268 328269085 656538170 1313076340 1903960693 3807921386 7615842772 9519803465 19039606930 36569176069 38079213860 73138352138 146276704276 182845880345 365691760690 731383521380 1060506106001 2121012212002 4242024424004 5302530530005 10605061060010 21210122120020