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133320144141 = 32314513105883
BaseRepresentation
bin111110000101001111…
…1111111010100001101
3110202010022101001011100
41330022133333110031
54141014424103031
6141125121213313
712426540345612
oct1741237772415
9422108331140
10133320144141
11515a4822608
1221a08791239
13c7589baa72
14664a40a509
153704594de6
hex1f0a7ff50d

133320144141 has 24 divisors (see below), whose sum is σ = 198831516416. Its totient is φ = 85993125120.

The previous prime is 133320144137. The next prime is 133320144149. The reversal of 133320144141 is 141441023331.

133320144141 is a `hidden beast` number, since 13 + 3 + 3 + 201 + 441 + 4 + 1 = 666.

It is not a de Polignac number, because 133320144141 - 22 = 133320144137 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 (133320144149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206186 + ... + 1312068.

Almost surely, 2133320144141 is an apocalyptic number.

It is an amenable number.

133320144141 is a deficient number, since it is larger than the sum of its proper divisors (65511372275).

133320144141 is a wasteful number, since it uses less digits than its factorization.

133320144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110433 (or 110430 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133320144141 its reverse (141441023331), we get a palindrome (274761167472).

The spelling of 133320144141 in words is "one hundred thirty-three billion, three hundred twenty million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 31 93 279 4513 13539 40617 105883 139903 317649 419709 952947 1259127 3282373 9847119 29541357 477849979 1433549937 4300649811 14813349349 44440048047 133320144141