Search a number
-
+
21322110000101 = 101434221486181
BaseRepresentation
bin1001101100100011100001…
…10010101101101111100101
32210111101002111200100010112
410312101300302231233211
510243320140130000401
6113203124143502405
74330320522424061
oct466216062555745
983441074610115
1021322110000101
116880724257589
12248444b5b7a05
13bb8887c65571
14539dd201caa1
1526e984db73bb
hex136470cadbe5

21322110000101 has 8 divisors (see below), whose sum is σ = 21533313881208. Its totient is φ = 21110907960000.

The previous prime is 21322110000043. The next prime is 21322110000131. The reversal of 21322110000101 is 10100001122312.

It can be written as a sum of positive squares in 4 ways, for example, as 613002873025 + 20709107127076 = 782945^2 + 4550726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21322110000101 - 234 = 21304930130917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322110000131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43613231 + ... + 44099411.

It is an arithmetic number, because the mean of its divisors is an integer number (2691664235151).

Almost surely, 221322110000101 is an apocalyptic number.

It is an amenable number.

21322110000101 is a deficient number, since it is larger than the sum of its proper divisors (211203881107).

21322110000101 is a wasteful number, since it uses less digits than its factorization.

21322110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920503.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21322110000101 its reverse (10100001122312), we get a palindrome (31422111122413).

The spelling of 21322110000101 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred ten million, one hundred one", and thus it is an aban number.

Divisors: 1 101 434221 486181 43856321 49104281 211110000001 21322110000101