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213607949557 is a prime number
BaseRepresentation
bin1100011011110000000…
…1101010010011110101
3202102100201001010222011
43012330001222103311
511444432113341212
6242044035404221
721301255420222
oct3067401522365
9672321033864
10213607949557
1182655134102
1235494a53671
13171b2640c32
14a4a54a2949
155852e644a7
hex31bc06a4f5

213607949557 has 2 divisors, whose sum is σ = 213607949558. Its totient is φ = 213607949556.

The previous prime is 213607949509. The next prime is 213607949561. The reversal of 213607949557 is 755949706312.

It is a happy number.

213607949557 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., 169619598801 + 43988350756 = 411849^2 + 209734^2 .

It is a cyclic number.

It is not a de Polignac number, because 213607949557 - 215 = 213607916789 is a prime.

It is a super-2 number, since 2×2136079495572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213607949567) 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, 106803974778 + 106803974779.

It is an arithmetic number, because the mean of its divisors is an integer number (106803974779).

Almost surely, 2213607949557 is an apocalyptic number.

It is an amenable number.

213607949557 is a deficient number, since it is larger than the sum of its proper divisors (1).

213607949557 is an equidigital number, since it uses as much as digits as its factorization.

213607949557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 213607949557 in words is "two hundred thirteen billion, six hundred seven million, nine hundred forty-nine thousand, five hundred fifty-seven".