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4661558101 is a prime number
BaseRepresentation
bin1000101011101100…
…11011101101010101
3110000212112200120001
410111312123231111
534021324324401
62050321211301
7223342406254
oct42566335525
913025480501
104661558101
111a82367662
12aa1190b31
135939c1505
1432316279b
151c43a2601
hex115d9bb55

4661558101 has 2 divisors, whose sum is σ = 4661558102. Its totient is φ = 4661558100.

The previous prime is 4661558063. The next prime is 4661558113. The reversal of 4661558101 is 1018551664.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2771917201 + 1889640900 = 52649^2 + 43470^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4661558101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4661558501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2330779050 + 2330779051.

It is an arithmetic number, because the mean of its divisors is an integer number (2330779051).

Almost surely, 24661558101 is an apocalyptic number.

It is an amenable number.

4661558101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4661558101 is an equidigital number, since it uses as much as digits as its factorization.

4661558101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 4661558101 is about 68275.6039958637. The cubic root of 4661558101 is about 1670.4893089715.

The spelling of 4661558101 in words is "four billion, six hundred sixty-one million, five hundred fifty-eight thousand, one hundred one".