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133393221 = 3213287701
BaseRepresentation
bin1111111001101…
…10101101000101
3100022000002002200
413330312231011
5233122040341
621123025113
73206552343
oct774665505
9308002080
10133393221
116932a335
123880b199
1321836100
1413a04993
15ba9ddb6
hex7f36b45

133393221 has 18 divisors (see below), whose sum is σ = 208643058. Its totient is φ = 82087200.

The previous prime is 133393189. The next prime is 133393291. The reversal of 133393221 is 122393331.

133393221 is a `hidden beast` number, since 1 + 3 + 339 + 322 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12173121 + 121220100 = 3489^2 + 11010^2 .

It is not a de Polignac number, because 133393221 - 25 = 133393189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133393291) 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 in 17 ways as a sum of consecutive naturals, for example, 42330 + ... + 45371.

It is an arithmetic number, because the mean of its divisors is an integer number (11591281).

Almost surely, 2133393221 is an apocalyptic number.

It is an amenable number.

133393221 is a deficient number, since it is larger than the sum of its proper divisors (75249837).

133393221 is a wasteful number, since it uses less digits than its factorization.

133393221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87733 (or 87717 counting only the distinct ones).

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

The square root of 133393221 is about 11549.5983047031. The cubic root of 133393221 is about 510.9494309533.

The spelling of 133393221 in words is "one hundred thirty-three million, three hundred ninety-three thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 87701 263103 789309 1140113 3420339 10261017 14821469 44464407 133393221