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133201102331133 = 3226497558558421
BaseRepresentation
bin11110010010010101001100…
…011000110101110011111101
3122110121220022211210110202100
4132102111030120311303331
5114424331324144044013
61151143424110215313
740025314326445134
oct3622251430656375
9573556284713670
10133201102331133
11394952a77a1871
1212b333237b4539
135942a6b8bcca5
1424c6d7972091b
15105ecede08473
hex79254c635cfd

133201102331133 has 12 divisors (see below), whose sum is σ = 192408853860028. Its totient is φ = 88797383377920.

The previous prime is 133201102331113. The next prime is 133201102331191. The reversal of 133201102331133 is 331133201102331.

133201102331133 is a `hidden beast` number, since 1 + 3 + 320 + 1 + 1 + 0 + 2 + 331 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52845601172004 + 80355501159129 = 7269498^2 + 8964123^2 .

It is a de Polignac number, because none of the positive numbers 2k-133201102331133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133201102331097 and 133201102331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133201102331113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279040738 + ... + 279517683.

Almost surely, 2133201102331133 is an apocalyptic number.

It is an amenable number.

133201102331133 is a deficient number, since it is larger than the sum of its proper divisors (59207751528895).

133201102331133 is a wasteful number, since it uses less digits than its factorization.

133201102331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558584924 (or 558584921 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133201102331133 its reverse (331133201102331), we get a palindrome (464334303433464).

The spelling of 133201102331133 in words is "one hundred thirty-three trillion, two hundred one billion, one hundred two million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 26497 79491 238473 558558421 1675675263 5027025789 14800122481237 44400367443711 133201102331133