Search a number
-
+
135311101 is a prime number
BaseRepresentation
bin10000001000010…
…10111011111101
3100102121111221021
420010022323331
5234114423401
621232104141
73232061002
oct1004127375
9312544837
10135311101
116a41a262
1239395051
1322058053
1413d838a9
15bd2c2a1
hex810aefd

135311101 has 2 divisors, whose sum is σ = 135311102. Its totient is φ = 135311100.

The previous prime is 135311087. The next prime is 135311107. The reversal of 135311101 is 101113531.

135311101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96236100 + 39075001 = 9810^2 + 6251^2 .

It is an emirp because it is prime and its reverse (101113531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135311101 - 25 = 135311069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135311107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67655550 + 67655551.

It is an arithmetic number, because the mean of its divisors is an integer number (67655551).

Almost surely, 2135311101 is an apocalyptic number.

It is an amenable number.

135311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

135311101 is an equidigital number, since it uses as much as digits as its factorization.

135311101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 135311101 is about 11632.3299901610. The cubic root of 135311101 is about 513.3865374195.

Adding to 135311101 its reverse (101113531), we get a palindrome (236424632).

The spelling of 135311101 in words is "one hundred thirty-five million, three hundred eleven thousand, one hundred one".