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61310101 is a prime number
BaseRepresentation
bin1110100111100…
…0010010010101
311021100212122111
43221320102111
5111143410401
610030031021
71343061436
oct351702225
9137325574
1061310101
1131676206
1218648471
13c918388
1481dd48d
1555b0e51
hex3a78495

61310101 has 2 divisors, whose sum is σ = 61310102. Its totient is φ = 61310100.

The previous prime is 61310087. The next prime is 61310107. The reversal of 61310101 is 10101316.

It is a happy number.

61310101 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., 60078001 + 1232100 = 7751^2 + 1110^2 .

It is a cyclic number.

It is not a de Polignac number, because 61310101 - 25 = 61310069 is a prime.

It is a super-3 number, since 3×613101013 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30655050 + 30655051.

It is an arithmetic number, because the mean of its divisors is an integer number (30655051).

Almost surely, 261310101 is an apocalyptic number.

It is an amenable number.

61310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

61310101 is an equidigital number, since it uses as much as digits as its factorization.

61310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 61310101 is about 7830.0766918339. The cubic root of 61310101 is about 394.3156467197.

Adding to 61310101 its reverse (10101316), we get a palindrome (71411417).

The spelling of 61310101 in words is "sixty-one million, three hundred ten thousand, one hundred one".