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133146221 = 1329353173
BaseRepresentation
bin1111110111110…
…10011001101101
3100021112112021112
413323322121231
5233041134341
621113441405
73204503255
oct773723155
9307475245
10133146221
11691807aa
1238710265
132177a860
141397c965
15ba50aeb
hex7efa66d

133146221 has 8 divisors (see below), whose sum is σ = 148333080. Its totient is φ = 118665792.

The previous prime is 133146203. The next prime is 133146259. The reversal of 133146221 is 122641331.

It can be written as a sum of positive squares in 4 ways, for example, as 11485321 + 121660900 = 3389^2 + 11030^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133146221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133146121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176210 + ... + 176963.

It is an arithmetic number, because the mean of its divisors is an integer number (18541635).

Almost surely, 2133146221 is an apocalyptic number.

It is an amenable number.

133146221 is a deficient number, since it is larger than the sum of its proper divisors (15186859).

133146221 is a wasteful number, since it uses less digits than its factorization.

133146221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353215.

The product of its digits is 864, while the sum is 23.

The square root of 133146221 is about 11538.9003375538. The cubic root of 133146221 is about 510.6338664766.

Adding to 133146221 its reverse (122641331), we get a palindrome (255787552).

The spelling of 133146221 in words is "one hundred thirty-three million, one hundred forty-six thousand, two hundred twenty-one".

Divisors: 1 13 29 377 353173 4591249 10242017 133146221