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132304741331 = 7177115659219
BaseRepresentation
bin111101100110111111…
…0100010001111010011
3110122111112201020100212
41323031332202033103
54131430003210311
6140440245434335
712362430513560
oct1731576421723
9418445636325
10132304741331
1151123639434
122178470b9ab
13c626519ab9
14659160d867
15369536ec8b
hex1ecdfa23d3

132304741331 has 16 divisors (see below), whose sum is σ = 162354792960. Its totient is φ = 105229944960.

The previous prime is 132304741321. The next prime is 132304741367. The reversal of 132304741331 is 133147403231.

It is not a de Polignac number, because 132304741331 - 230 = 131230999507 is a prime.

It is a super-2 number, since 2×1323047413312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132304741321) 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 15 ways as a sum of consecutive naturals, for example, 7821161 + ... + 7838058.

It is an arithmetic number, because the mean of its divisors is an integer number (10147174560).

Almost surely, 2132304741331 is an apocalyptic number.

132304741331 is a deficient number, since it is larger than the sum of its proper divisors (30050051629).

132304741331 is a wasteful number, since it uses less digits than its factorization.

132304741331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659314.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 132304741331 in words is "one hundred thirty-two billion, three hundred four million, seven hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 7 17 71 119 497 1207 8449 15659219 109614533 266206723 1111804549 1863447061 7782631843 18900677333 132304741331