Search a number
-
+
221433301240101 = 338201233379263
BaseRepresentation
bin110010010110010001110101…
…010000110000100100100101
31002001000211001111020122011000
4302112101311100300210211
5213010430400104140401
62102541015415303513
764433012426014146
oct6226216520604445
91061024044218130
10221433301240101
1164612376883205
1220a0331067ab99
1396730bc469482
143c97601115acd
151a8eec5909186
hexc96475430925

221433301240101 has 8 divisors (see below), whose sum is σ = 328049335170560. Its totient is φ = 147622200826716.

The previous prime is 221433301240079. The next prime is 221433301240153. The reversal of 221433301240101 is 101042103334122.

221433301240101 is a `hidden beast` number, since 2 + 2 + 1 + 433 + 3 + 0 + 124 + 0 + 101 = 666.

It is not a de Polignac number, because 221433301240101 - 239 = 220883545426213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8201233379263 = 221433301240101 / (2 + 2 + 1 + 4 + 3 + 3 + 3 + 0 + 1 + 2 + 4 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221433301220101) 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, 4100616689605 + ... + 4100616689658.

It is an arithmetic number, because the mean of its divisors is an integer number (41006166896320).

Almost surely, 2221433301240101 is an apocalyptic number.

It is an amenable number.

221433301240101 is a deficient number, since it is larger than the sum of its proper divisors (106616033930459).

221433301240101 is an equidigital number, since it uses as much as digits as its factorization.

221433301240101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8201233379272 (or 8201233379266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221433301240101 its reverse (101042103334122), we get a palindrome (322475404574223).

The spelling of 221433301240101 in words is "two hundred twenty-one trillion, four hundred thirty-three billion, three hundred one million, two hundred forty thousand, one hundred one".

Divisors: 1 3 9 27 8201233379263 24603700137789 73811100413367 221433301240101