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133212233 = 72111012447
BaseRepresentation
bin1111111000010…
…10100001001001
3100021122212211102
413330022201021
5233100242413
621115111145
73205166600
oct774124111
9307585742
10133212233
1169216360
12387424b5
13217a190b
1413998a37
15ba65458
hex7f0a849

133212233 has 24 divisors (see below), whose sum is σ = 170792064. Its totient is φ = 102732000.

The previous prime is 133212229. The next prime is 133212271. The reversal of 133212233 is 332212331.

It is not a de Polignac number, because 133212233 - 22 = 133212229 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53216 + ... + 55662.

It is an arithmetic number, because the mean of its divisors is an integer number (7116336).

Almost surely, 2133212233 is an apocalyptic number.

It is an amenable number.

133212233 is a deficient number, since it is larger than the sum of its proper divisors (37579831).

133212233 is a wasteful number, since it uses less digits than its factorization.

133212233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2566 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 133212233 is about 11541.7603943246. The cubic root of 133212233 is about 510.7182408669.

Adding to 133212233 its reverse (332212331), we get a palindrome (465424564).

The spelling of 133212233 in words is "one hundred thirty-three million, two hundred twelve thousand, two hundred thirty-three".

Divisors: 1 7 11 49 77 101 539 707 1111 2447 4949 7777 17129 26917 54439 119903 188419 247147 1318933 1730029 2718617 12110203 19030319 133212233