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10221102000020 = 2251209742246433
BaseRepresentation
bin1001010010111100100100…
…1001110110011110010100
31100012010110011122121102002
42110233021021312132110
52314430304103000040
633423302012134432
72103310302341252
oct224571111663624
940163404577362
1010221102000020
11329082168515a
121190b02467418
13591acc253432
142749bd9d55d2
1512ad1ac61a15
hex94bc9276794

10221102000020 has 24 divisors (see below), whose sum is σ = 21466089058344. Its totient is φ = 4088102731776.

The previous prime is 10221101999951. The next prime is 10221102000077. The reversal of 10221102000020 is 2000020112201.

It is a happy number.

10221102000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170261866384 + 10050840133636 = 412628^2 + 3170306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10221101999965 and 10221102000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20881277 + ... + 21365156.

It is an arithmetic number, because the mean of its divisors is an integer number (894420377431).

Almost surely, 210221102000020 is an apocalyptic number.

10221102000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221102000020 is an abundant number, since it is smaller than the sum of its proper divisors (11244987058324).

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

10221102000020 is a wasteful number, since it uses less digits than its factorization.

10221102000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42258539 (or 42258537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10221102000020 its reverse (2000020112201), we get a palindrome (12221122112221).

The spelling of 10221102000020 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 12097 24194 48388 60485 120970 241940 42246433 84492866 168985732 211232165 422464330 844928660 511055100001 1022110200002 2044220400004 2555275500005 5110551000010 10221102000020