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135005552113 is a prime number
BaseRepresentation
bin111110110111011110…
…1010011110111110001
3110220110202202122020211
41331232331103313301
54202442410131423
6142004245304121
712516364154515
oct1755675236761
9426422678224
10135005552113
115228a129563
12221b9105041
13c966c285a3
14676a1b4145
1537a251510d
hex1f6ef53df1

135005552113 has 2 divisors, whose sum is σ = 135005552114. Its totient is φ = 135005552112.

The previous prime is 135005552021. The next prime is 135005552137. The reversal of 135005552113 is 311255500531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71255361969 + 63750190144 = 266937^2 + 252488^2 .

It is a cyclic number.

It is not a de Polignac number, because 135005552113 - 233 = 126415617521 is a prime.

It is not a weakly prime, because it can be changed into another prime (135005552183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67502776056 + 67502776057.

It is an arithmetic number, because the mean of its divisors is an integer number (67502776057).

Almost surely, 2135005552113 is an apocalyptic number.

It is an amenable number.

135005552113 is a deficient number, since it is larger than the sum of its proper divisors (1).

135005552113 is an equidigital number, since it uses as much as digits as its factorization.

135005552113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11250, while the sum is 31.

The spelling of 135005552113 in words is "one hundred thirty-five billion, five million, five hundred fifty-two thousand, one hundred thirteen".