Search a number
-
+
223112211222133 = 17115311382695333
BaseRepresentation
bin110010101110101101011100…
…000110000100111001110101
31002020222022121121120112120101
4302232231130012010321311
5213220432302033102013
62110304200155034101
764665216404262652
oct6256553406047165
91066868547515511
10223112211222133
11650aa3a2791082
122103478413b931
13976551172cc6c
143d1498d8bac29
151abd9d99488dd
hexcaeb5c184e75

223112211222133 has 8 divisors (see below), whose sum is σ = 236441347477848. Its totient is φ = 209805840359424.

The previous prime is 223112211222091. The next prime is 223112211222139. The reversal of 223112211222133 is 331222112211322.

It can be written as a sum of positive squares in 4 ways, for example, as 35119099742769 + 187993111479364 = 5926137^2 + 13711058^2 .

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 223112211222133 - 229 = 223111674351221 is a prime.

It is a super-3 number, since 3×2231122112221333 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223112211222139) 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, 5691328066 + ... + 5691367267.

It is an arithmetic number, because the mean of its divisors is an integer number (29555168434731).

Almost surely, 2223112211222133 is an apocalyptic number.

It is an amenable number.

223112211222133 is a deficient number, since it is larger than the sum of its proper divisors (13329136255715).

223112211222133 is a wasteful number, since it uses less digits than its factorization.

223112211222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382696503.

The product of its digits is 3456, while the sum is 28.

Adding to 223112211222133 its reverse (331222112211322), we get a palindrome (554334323433455).

The spelling of 223112211222133 in words is "two hundred twenty-three trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 17 1153 19601 11382695333 193505820661 13124247718949 223112211222133