Search a number
-
+
233145083087569 is a prime number
BaseRepresentation
bin110101000000101101010001…
…110110111100101011010001
31010120111110012201000120112101
4311000231101312330223101
5221024322112232300234
62143505212250200401
7100052114334120532
oct6500552166745321
91116443181016471
10233145083087569
1168318302361134
12221950b4723101
13a012643c20423
1441803d4624689
151be498a698814
hexd40b51dbcad1

233145083087569 has 2 divisors, whose sum is σ = 233145083087570. Its totient is φ = 233145083087568.

The previous prime is 233145083087537. The next prime is 233145083087617. The reversal of 233145083087569 is 965780380541332.

It is a happy number.

233145083087569 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., 198824466863169 + 34320616224400 = 14100513^2 + 5858380^2 .

It is a cyclic number.

It is not a de Polignac number, because 233145083087569 - 25 = 233145083087537 is a prime.

It is a super-2 number, since 2×2331450830875692 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233145083087569.

It is not a weakly prime, because it can be changed into another prime (233145083087269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116572541543784 + 116572541543785.

It is an arithmetic number, because the mean of its divisors is an integer number (116572541543785).

It is a 2-persistent number, because it is pandigital, and so is 2⋅233145083087569 = 466290166175138, but 3⋅233145083087569 = 699435249262707 is not.

Almost surely, 2233145083087569 is an apocalyptic number.

It is an amenable number.

233145083087569 is a deficient number, since it is larger than the sum of its proper divisors (1).

233145083087569 is an equidigital number, since it uses as much as digits as its factorization.

233145083087569 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 233145083087569 in words is "two hundred thirty-three trillion, one hundred forty-five billion, eighty-three million, eighty-seven thousand, five hundred sixty-nine".