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21210012016020 = 22325123795257397
BaseRepresentation
bin1001101001010010101110…
…01110110101110110010100
32210002122202012112201122100
410310221113032311312110
510240001101034003040
6113035424531002100
74316241604324002
oct464512716656624
983078665481570
1021210012016020
11683812a925a33
122466786139330
13bab131c05279
145347da355a72
1526bac3a04b30
hex134a573b5d94

21210012016020 has 72 divisors (see below), whose sum is σ = 64389047663304. Its totient is φ = 5651430789888.

The previous prime is 21210012016019. The next prime is 21210012016021. The reversal of 21210012016020 is 2061021001212.

21210012016020 is a `hidden beast` number, since 21 + 21 + 0 + 0 + 1 + 20 + 1 + 602 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21210012016019) and next prime (21210012016021).

It can be written as a sum of positive squares in 4 ways, for example, as 2985548559876 + 18224463456144 = 1727874^2 + 4269012^2 .

It is a super-3 number, since 3×212100120160203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21210012015984 and 21210012016002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210012016021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47406039 + ... + 47851358.

It is an arithmetic number, because the mean of its divisors is an integer number (894292328657).

Almost surely, 221210012016020 is an apocalyptic number.

21210012016020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210012016020 is an abundant number, since it is smaller than the sum of its proper divisors (43179035647284).

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

21210012016020 is a wasteful number, since it uses less digits than its factorization.

21210012016020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95258649 (or 95258644 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21210012016020 its reverse (2061021001212), we get a palindrome (23271033017232).

The spelling of 21210012016020 in words is "twenty-one trillion, two hundred ten billion, twelve million, sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1237 2474 3711 4948 6185 7422 11133 12370 14844 18555 22266 24740 37110 44532 55665 74220 111330 222660 95257397 190514794 285772191 381029588 476286985 571544382 857316573 952573970 1143088764 1428860955 1714633146 1905147940 2857721910 3429266292 4286582865 5715443820 8573165730 17146331460 117833400089 235666800178 353500200267 471333600356 589167000445 707000400534 1060500600801 1178334000890 1414000801068 1767501001335 2121001201602 2356668001780 3535002002670 4242002403204 5302503004005 7070004005340 10605006008010 21210012016020