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133111233 = 32101146437
BaseRepresentation
bin1111110111100…
…01110111000001
3100021110202021200
413323301313001
5233034024413
621113011413
73204266253
oct773616701
9307422250
10133111233
1169157492
12386b3b69
1321767958
141396dcd3
15ba45573
hex7ef1dc1

133111233 has 12 divisors (see below), whose sum is σ = 194176788. Its totient is φ = 87861600.

The previous prime is 133111219. The next prime is 133111261. The reversal of 133111233 is 332111331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 120494529 + 12616704 = 10977^2 + 3552^2 .

It is not a de Polignac number, because 133111233 - 210 = 133110209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133111213) 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 11 ways as a sum of consecutive naturals, for example, 72310 + ... + 74127.

It is an arithmetic number, because the mean of its divisors is an integer number (16181399).

Almost surely, 2133111233 is an apocalyptic number.

It is an amenable number.

133111233 is a deficient number, since it is larger than the sum of its proper divisors (61065555).

133111233 is a wasteful number, since it uses less digits than its factorization.

133111233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146544 (or 146541 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 133111233 is about 11537.3841489308. The cubic root of 133111233 is about 510.5891346453.

Adding to 133111233 its reverse (332111331), we get a palindrome (465222564).

The spelling of 133111233 in words is "one hundred thirty-three million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 101 303 909 146437 439311 1317933 14790137 44370411 133111233