Search a number
-
+
21220201010000 = 24542122020101
BaseRepresentation
bin1001101001100101101101…
…00010110001001101010000
32210010122001021221020202202
410310302312202301031100
510240132432424310000
6113044231544302332
74320052235333546
oct464626642611520
983118037836682
1021220201010000
116841489295a13
12246874a4719a8
13bac096ac52a5
145350c5633d96
1526bebd295dd5
hex134cb68b1350

21220201010000 has 50 divisors (see below), whose sum is σ = 51376228689522. Its totient is φ = 8488080400000.

The previous prime is 21220201009967. The next prime is 21220201010023. The reversal of 21220201010000 is 1010202212.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 10992434154256 + 10227766855744 = 3315484^2 + 3198088^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1061000051 + ... + 1061020050.

Almost surely, 221220201010000 is an apocalyptic number.

21220201010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220201010000 is an abundant number, since it is smaller than the sum of its proper divisors (30156027679522).

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

21220201010000 is an equidigital number, since it uses as much as digits as its factorization.

21220201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122020129 (or 2122020108 counting only the distinct ones).

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

Adding to 21220201010000 its reverse (1010202212), we get a palindrome (21221211212212).

The spelling of 21220201010000 in words is "twenty-one trillion, two hundred twenty billion, two hundred one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2122020101 4244040202 8488080404 10610100505 16976160808 21220201010 33952321616 42440402020 53050502525 84880804040 106101005050 169761608080 212202010100 265252512625 424404020200 530505025250 848808040400 1061010050500 1326262563125 2122020101000 2652525126250 4244040202000 5305050252500 10610100505000 21220201010000