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132305216631 = 3717599357989
BaseRepresentation
bin111101100111000000…
…0010110010001110111
3110122111120121101100120
41323032000112101313
54131430113413011
6140440303543023
712362434533360
oct1731600262167
9418446541316
10132305216631
1151123933545
12217848baa73
13c626655243
1465916d4b67
153695415a06
hex1ece016477

132305216631 has 16 divisors (see below), whose sum is σ = 201619968000. Its totient is φ = 75598473888.

The previous prime is 132305216599. The next prime is 132305216639. The reversal of 132305216631 is 136612503231.

It is not a de Polignac number, because 132305216631 - 25 = 132305216599 is a prime.

It is a super-2 number, since 2×1323052166312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132305216592 and 132305216601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132305216639) 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 15 ways as a sum of consecutive naturals, for example, 190585 + ... + 548573.

It is an arithmetic number, because the mean of its divisors is an integer number (12601248000).

Almost surely, 2132305216631 is an apocalyptic number.

132305216631 is a deficient number, since it is larger than the sum of its proper divisors (69314751369).

132305216631 is a wasteful number, since it uses less digits than its factorization.

132305216631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375598.

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 132305216631 its reverse (136612503231), we get a palindrome (268917719862).

The spelling of 132305216631 in words is "one hundred thirty-two billion, three hundred five million, two hundred sixteen thousand, six hundred thirty-one".

Divisors: 1 3 7 21 17599 52797 123193 357989 369579 1073967 2505923 7517769 6300248411 18900745233 44101738877 132305216631