Search a number
-
+
221212112302321 = 7237359729202637
BaseRepresentation
bin110010010011000011110101…
…010111111011000011110001
31002000020200010110020101101021
4302103003311113323003301
5212443314401222133241
62102251235204535441
764411022235040300
oct6223036527730361
91060220113211337
10221212112302321
1164537591452488
12209884809b1581
13965829c3523ba
143c8aa1ac9c437
151a8937c1660d1
hexc930f55fb0f1

221212112302321 has 24 divisors (see below), whose sum is σ = 258023857081320. Its totient is φ = 189097943956992.

The previous prime is 221212112302289. The next prime is 221212112302331. The reversal of 221212112302321 is 123203211212122.

It can be written as a sum of positive squares in 4 ways, for example, as 79408790367921 + 141803321934400 = 8911161^2 + 11908120^2 .

It is not a de Polignac number, because 221212112302321 - 25 = 221212112302289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221212112302331) 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, 1091565615 + ... + 1091768251.

It is an arithmetic number, because the mean of its divisors is an integer number (10750994045055).

Almost surely, 2221212112302321 is an apocalyptic number.

It is an amenable number.

221212112302321 is a deficient number, since it is larger than the sum of its proper divisors (36811744778999).

221212112302321 is a wasteful number, since it uses less digits than its factorization.

221212112302321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262753 (or 262746 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 221212112302321 its reverse (123203211212122), we get a palindrome (344415323514443).

The spelling of 221212112302321 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred twelve million, three hundred two thousand, three hundred twenty-one".

Divisors: 1 7 49 373 2611 18277 59729 202637 418103 1418459 2926721 9929213 22278917 75583601 155952419 529085207 1091666933 3703596449 12103305373 84723137611 593061963277 4514532904129 31601730328903 221212112302321