Search a number
-
+
2200300112221 = 53293389364241
BaseRepresentation
bin100000000001001100000…
…110110100100101011101
321210100100200211211000221
4200001030012310211131
5242022203312042341
64402445351321341
7314652326236561
oct40011406644535
97710320754027
102200300112221
11779162062812
122b6524080251
1312c644ac0433
14786d07736a1
153c37c983ed1
hex2004c1b495d

2200300112221 has 16 divisors (see below), whose sum is σ = 2255255336880. Its totient is φ = 2145880622080.

The previous prime is 2200300112173. The next prime is 2200300112251. The reversal of 2200300112221 is 1222110030022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 479320828900 + 1720979283321 = 692330^2 + 1311861^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200300112221 - 219 = 2200299587933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2200300112195 and 2200300112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200300112251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5858661 + ... + 6222901.

It is an arithmetic number, because the mean of its divisors is an integer number (140953458555).

Almost surely, 22200300112221 is an apocalyptic number.

It is an amenable number.

2200300112221 is a deficient number, since it is larger than the sum of its proper divisors (54955224659).

2200300112221 is a wasteful number, since it uses less digits than its factorization.

2200300112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364976.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2200300112221 its reverse (1222110030022), we get a palindrome (3422410142243).

The spelling of 2200300112221 in words is "two trillion, two hundred billion, three hundred million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 53 293 389 15529 20617 113977 364241 6040781 19304773 106722613 141689749 5656298489 7509556697 41515096457 2200300112221