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223076077040353 is a prime number
BaseRepresentation
bin110010101110001011110010…
…010101000111001011100001
31002020211212100100201220201111
4302232023302111013023201
5213214334301210242403
62110235422434103321
764662500100640135
oct6256136225071341
91066755310656644
10223076077040353
116509603a9a9529
122102977aa1ab41
139761ca354b104
143d12d228d53c5
151abcac252e56d
hexcae2f25472e1

223076077040353 has 2 divisors, whose sum is σ = 223076077040354. Its totient is φ = 223076077040352.

The previous prime is 223076077040339. The next prime is 223076077040381. The reversal of 223076077040353 is 353040770670322.

223076077040353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196132378344529 + 26943698695824 = 14004727^2 + 5190732^2 .

It is a cyclic number.

It is not a de Polignac number, because 223076077040353 - 25 = 223076077040321 is a prime.

It is a super-3 number, since 3×2230760770403533 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223076077040297 and 223076077040306.

It is not a weakly prime, because it can be changed into another prime (223076077040393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111538038520176 + 111538038520177.

It is an arithmetic number, because the mean of its divisors is an integer number (111538038520177).

Almost surely, 2223076077040353 is an apocalyptic number.

It is an amenable number.

223076077040353 is a deficient number, since it is larger than the sum of its proper divisors (1).

223076077040353 is an equidigital number, since it uses as much as digits as its factorization.

223076077040353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4445280, while the sum is 49.

The spelling of 223076077040353 in words is "two hundred twenty-three trillion, seventy-six billion, seventy-seven million, forty thousand, three hundred fifty-three".