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135630321266241 = 3347262140778209
BaseRepresentation
bin11110110101101011100101…
…000111101010111001000001
3122210020010120021210101111000
4132311223211013222321001
5120234131344221004431
61200243413122442213
740365652540632024
oct3665534507527101
9583203507711430
10135630321266241
113a2415505303aa
1213266094203369
135a8ab660a43b9
14256c784b811bb
1510a30c8a719e6
hex7b5ae51eae41

135630321266241 has 32 divisors (see below), whose sum is σ = 205287295910400. Its totient is φ = 88462613306880.

The previous prime is 135630321266203. The next prime is 135630321266243. The reversal of 135630321266241 is 142662123036531.

135630321266241 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 0 + 3 + 2 + 12 + 6 + 624 + 1 = 666.

It is not a de Polignac number, because 135630321266241 - 239 = 135080565452353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135630321266243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17063056 + ... + 23715153.

It is an arithmetic number, because the mean of its divisors is an integer number (6415227997200).

Almost surely, 2135630321266241 is an apocalyptic number.

It is an amenable number.

135630321266241 is a deficient number, since it is larger than the sum of its proper divisors (69656974644159).

135630321266241 is a wasteful number, since it uses less digits than its factorization.

135630321266241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40780886 (or 40780880 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 135630321266241 in words is "one hundred thirty-five trillion, six hundred thirty billion, three hundred twenty-one million, two hundred sixty-six thousand, two hundred forty-one".

Divisors: 1 3 9 27 47 141 423 1269 2621 7863 23589 70767 123187 369561 1108683 3326049 40778209 122334627 367003881 1101011643 1916575823 5749727469 17249182407 51747547221 106879685789 320639057367 961917172101 2885751516303 5023345232083 15070035696249 45210107088747 135630321266241