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114211331233393 is a prime number
BaseRepresentation
bin11001111101111111100101…
…110100111101011001110001
3112222101111102001020110120111
4121331333211310331121301
5104432214301243432033
61042523543343341321
733025332154415602
oct3175774564753161
9488344361213514
10114211331233393
1133433831aa8359
1210986b078b1841
134b9610bb28994
14202bc02215da9
15d30d7380e7cd
hex67dfe5d3d671

114211331233393 has 2 divisors, whose sum is σ = 114211331233394. Its totient is φ = 114211331233392.

The previous prime is 114211331233381. The next prime is 114211331233399. The reversal of 114211331233393 is 393332133112411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103144478184049 + 11066853049344 = 10156007^2 + 3326688^2 .

It is an emirp because it is prime and its reverse (393332133112411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114211331233393 - 25 = 114211331233361 is a prime.

It is a super-2 number, since 2×1142113312333932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114211331233399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57105665616696 + 57105665616697.

It is an arithmetic number, because the mean of its divisors is an integer number (57105665616697).

Almost surely, 2114211331233393 is an apocalyptic number.

It is an amenable number.

114211331233393 is a deficient number, since it is larger than the sum of its proper divisors (1).

114211331233393 is an equidigital number, since it uses as much as digits as its factorization.

114211331233393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 104976, while the sum is 40.

The spelling of 114211331233393 in words is "one hundred fourteen trillion, two hundred eleven billion, three hundred thirty-one million, two hundred thirty-three thousand, three hundred ninety-three".