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223064125381 is a prime number
BaseRepresentation
bin1100111110111110101…
…0000110111111000101
3210022202201111122120101
43033233222012333011
512123313404003011
6250250234204101
722054510532026
oct3175752067705
9708681448511
10223064125381
1186667979a49
1237293883631
131805b770c46
14ab21302c4d
155c081ee2c1
hex33efa86fc5

223064125381 has 2 divisors, whose sum is σ = 223064125382. Its totient is φ = 223064125380.

The previous prime is 223064125321. The next prime is 223064125393. The reversal of 223064125381 is 183521460322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144533030625 + 78531094756 = 380175^2 + 280234^2 .

It is a cyclic number.

It is not a de Polignac number, because 223064125381 - 213 = 223064117189 is a prime.

It is a super-3 number, since 3×2230641253813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223064125381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223064125321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111532062690 + 111532062691.

It is an arithmetic number, because the mean of its divisors is an integer number (111532062691).

Almost surely, 2223064125381 is an apocalyptic number.

It is an amenable number.

223064125381 is a deficient number, since it is larger than the sum of its proper divisors (1).

223064125381 is an equidigital number, since it uses as much as digits as its factorization.

223064125381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 223064125381 in words is "two hundred twenty-three billion, sixty-four million, one hundred twenty-five thousand, three hundred eighty-one".