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223201331033321 = 617734733555257
BaseRepresentation
bin110010110000000000011100…
…000011001011010011101001
31002021021211122112020000122002
4302300000130003023103221
5213223412311221031241
62110413135333540345
765004523025212244
oct6260003403132351
91067254575200562
10223201331033321
11651341755812a3
1221049ab61a46b5
139770a450a4054
143d1900593825b
151ac0ea38ad89b
hexcb001c0cb4e9

223201331033321 has 8 divisors (see below), whose sum is σ = 227153849720904. Its totient is φ = 219258279457920.

The previous prime is 223201331033269. The next prime is 223201331033363. The reversal of 223201331033321 is 123330133102322.

It can be written as a sum of positive squares in 4 ways, for example, as 8637100096 + 223192693933225 = 92936^2 + 14939635^2 .

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 223201331033321 - 210 = 223201331032297 is a prime.

It is a super-3 number, since 3×2232013310333213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223201331033381) 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, 2366730476 + ... + 2366824781.

It is an arithmetic number, because the mean of its divisors is an integer number (28394231215113).

Almost surely, 2223201331033321 is an apocalyptic number.

It is an amenable number.

223201331033321 is a deficient number, since it is larger than the sum of its proper divisors (3952518687583).

223201331033321 is an equidigital number, since it uses as much as digits as its factorization.

223201331033321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733556091.

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

Adding to 223201331033321 its reverse (123330133102322), we get a palindrome (346531464135643).

The spelling of 223201331033321 in words is "two hundred twenty-three trillion, two hundred one billion, three hundred thirty-one million, thirty-three thousand, three hundred twenty-one".

Divisors: 1 61 773 47153 4733555257 288746870677 3659038213661 223201331033321