Search a number
-
+
21030003310100 = 22521516491214561
BaseRepresentation
bin1001100100000011011011…
…11000000111111000010100
32202110110010002102000010012
410302001231320013320110
510224023421321410400
6112421014455415352
74300240041504131
oct462015570077024
982413102360105
1021030003310100
116778857687984
122437909684558
13b971755331b5
14529c01331588
1526708a67bd35
hex13206de07e14

21030003310100 has 72 divisors (see below), whose sum is σ = 45944617647936. Its totient is φ = 8354966400000.

The previous prime is 21030003310091. The next prime is 21030003310159. The reversal of 21030003310100 is 101330003012.

It is a super-2 number, since 2×210300033101002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97906820 + ... + 98121380.

Almost surely, 221030003310100 is an apocalyptic number.

21030003310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21030003310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22972308823968).

21030003310100 is an abundant number, since it is smaller than the sum of its proper divisors (24914614337836).

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

21030003310100 is a wasteful number, since it uses less digits than its factorization.

21030003310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221217 (or 221210 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 21030003310100 its reverse (101330003012), we get a palindrome (21131333313112).

The spelling of 21030003310100 in words is "twenty-one trillion, thirty billion, three million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 6491 7550 12982 15100 25964 32455 64910 129820 162275 214561 324550 429122 649100 858244 980141 1072805 1960282 2145610 3920564 4291220 4900705 5364025 9801410 10728050 19602820 21456100 24503525 32398711 49007050 64797422 98014100 129594844 161993555 323987110 647974220 809967775 1392715451 1619935550 2785430902 3239871100 5570861804 6963577255 13927154510 27854309020 34817886275 69635772550 139271545100 210300033101 420600066202 841200132404 1051500165505 2103000331010 4206000662020 5257500827525 10515001655050 21030003310100