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223144331302341 = 32130119057505449
BaseRepresentation
bin110010101111001011010110…
…100110011101010111000101
31002021002101112010011200020200
4302233023112212131113011
5213221444042303133331
62110331031323521113
765000434356410451
oct6257132646352705
91067071463150220
10223144331302341
1165111a85728809
122103aa49089199
1397685600c3997
143d1635971b661
151abe7697545e6
hexcaf2d699d5c5

223144331302341 has 12 divisors (see below), whose sum is σ = 322567337246700. Its totient is φ = 148648542494400.

The previous prime is 223144331302313. The next prime is 223144331302379. The reversal of 223144331302341 is 143203133441322.

223144331302341 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 4 + 4 + 3 + 3 + 1 + 302 + 341 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8473600793025 + 214670730509316 = 2910945^2 + 14651646^2 .

It is not a de Polignac number, because 223144331302341 - 25 = 223144331302309 is a prime.

It is a super-3 number, since 3×2231443313023413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223144331302296 and 223144331302305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223144331302241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9528741016 + ... + 9528764433.

It is an arithmetic number, because the mean of its divisors is an integer number (26880611437225).

Almost surely, 2223144331302341 is an apocalyptic number.

It is an amenable number.

223144331302341 is a deficient number, since it is larger than the sum of its proper divisors (99423005944359).

223144331302341 is a wasteful number, since it uses less digits than its factorization.

223144331302341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19057506756 (or 19057506753 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 223144331302341 its reverse (143203133441322), we get a palindrome (366347464743663).

The spelling of 223144331302341 in words is "two hundred twenty-three trillion, one hundred forty-four billion, three hundred thirty-one million, three hundred two thousand, three hundred forty-one".

Divisors: 1 3 9 1301 3903 11709 19057505449 57172516347 171517549041 24793814589149 74381443767447 223144331302341