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103655249261 is a prime number
BaseRepresentation
bin110000010001001010…
…1011001010101101101
3100220112220122020120222
41200202111121111231
53144241220434021
6115341335421125
710326450036614
oct1404225312555
9326486566528
10103655249261
113aa6175aa63
1218109b247a5
139a0bb95325
1450346b287b
152a6a0b16ab
hex182255956d

103655249261 has 2 divisors, whose sum is σ = 103655249262. Its totient is φ = 103655249260.

The previous prime is 103655249237. The next prime is 103655249267. The reversal of 103655249261 is 162942556301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66702876361 + 36952372900 = 258269^2 + 192230^2 .

It is a cyclic number.

It is not a de Polignac number, because 103655249261 - 26 = 103655249197 is a prime.

It is a super-2 number, since 2×1036552492612 (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 (103655249267) 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, 51827624630 + 51827624631.

It is an arithmetic number, because the mean of its divisors is an integer number (51827624631).

Almost surely, 2103655249261 is an apocalyptic number.

It is an amenable number.

103655249261 is a deficient number, since it is larger than the sum of its proper divisors (1).

103655249261 is an equidigital number, since it uses as much as digits as its factorization.

103655249261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 103655249261 in words is "one hundred three billion, six hundred fifty-five million, two hundred forty-nine thousand, two hundred sixty-one".