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135100213 is a prime number
BaseRepresentation
bin10000000110101…
…11011100110101
3100102012210122121
420003113130311
5234041201323
621223355541
73230222113
oct1003273465
9312183577
10135100213
116a295876
12392b2bb1
1321cb3071
1413d2aab3
15bcd9a5d
hex80d7735

135100213 has 2 divisors, whose sum is σ = 135100214. Its totient is φ = 135100212.

The previous prime is 135100211. The next prime is 135100219. The reversal of 135100213 is 312001531.

135100213 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., 135094129 + 6084 = 11623^2 + 78^2 .

It is a cyclic number.

It is not a de Polignac number, because 135100213 - 21 = 135100211 is a prime.

Together with 135100211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67550106 + 67550107.

It is an arithmetic number, because the mean of its divisors is an integer number (67550107).

Almost surely, 2135100213 is an apocalyptic number.

It is an amenable number.

135100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

135100213 is an equidigital number, since it uses as much as digits as its factorization.

135100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 135100213 is about 11623.2617195003. The cubic root of 135100213 is about 513.1196872884.

Adding to 135100213 its reverse (312001531), we get a palindrome (447101744).

The spelling of 135100213 in words is "one hundred thirty-five million, one hundred thousand, two hundred thirteen".