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2221331323133 = 13665325683397
BaseRepresentation
bin100000010100110001101…
…010100001100011111101
321212100122101210000201102
4200110301222201203331
5242343241304320013
64420244315222445
7316325442465356
oct40246152414375
97770571700642
102221331323133
1178707469285a
122ba613447a25
13131617012430
14797279acd2d
153cbadee8d58
hex20531aa18fd

2221331323133 has 8 divisors (see below), whose sum is σ = 2392562624088. Its totient is φ = 2050151402304.

The previous prime is 2221331323129. The next prime is 2221331323177. The reversal of 2221331323133 is 3313231331222.

It can be written as a sum of positive squares in 4 ways, for example, as 33378559204 + 2187952763929 = 182698^2 + 1479173^2 .

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 2221331323133 - 22 = 2221331323129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221331323096 and 2221331323105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221331323193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12755210 + ... + 12928187.

It is an arithmetic number, because the mean of its divisors is an integer number (299070328011).

Almost surely, 22221331323133 is an apocalyptic number.

It is an amenable number.

2221331323133 is a deficient number, since it is larger than the sum of its proper divisors (171231300955).

2221331323133 is a wasteful number, since it uses less digits than its factorization.

2221331323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25690063.

The product of its digits is 11664, while the sum is 29.

Adding to 2221331323133 its reverse (3313231331222), we get a palindrome (5534562654355).

The spelling of 2221331323133 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-one million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 13 6653 86489 25683397 333884161 170871640241 2221331323133