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61980133 is a prime number
BaseRepresentation
bin1110110001101…
…1110111100101
311022121220202111
43230123313211
5111331331013
610052241021
71351552045
oct354336745
9138556674
1061980133
1131a93656
1218910171
13cac1347
148335725
15569473d
hex3b1bde5

61980133 has 2 divisors, whose sum is σ = 61980134. Its totient is φ = 61980132.

The previous prime is 61980131. The next prime is 61980173. The reversal of 61980133 is 33108916.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32798529 + 29181604 = 5727^2 + 5402^2 .

It is a cyclic number.

It is not a de Polignac number, because 61980133 - 21 = 61980131 is a prime.

Together with 61980131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 61980095 and 61980104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61980131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30990066 + 30990067.

It is an arithmetic number, because the mean of its divisors is an integer number (30990067).

Almost surely, 261980133 is an apocalyptic number.

It is an amenable number.

61980133 is a deficient number, since it is larger than the sum of its proper divisors (1).

61980133 is an equidigital number, since it uses as much as digits as its factorization.

61980133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 61980133 is about 7872.7462171723. The cubic root of 61980133 is about 395.7468814880.

The spelling of 61980133 in words is "sixty-one million, nine hundred eighty thousand, one hundred thirty-three".