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132000112321 = 71153228714143
BaseRepresentation
bin111101011101111010…
…0011101111011000001
3110121201022111110220221
41322323310131323001
54130314012043241
6140350124303041
712352041304420
oct1727364357301
9417638443827
10132000112321
1150a87693120
12216ba6a1a81
13c5a838b04c
146562d932b7
1536787495d1
hex1ebbd1dec1

132000112321 has 32 divisors (see below), whose sum is σ = 167761870848. Its totient is φ = 100865269440.

The previous prime is 132000112273. The next prime is 132000112351. The reversal of 132000112321 is 123211000231.

It is a cyclic number.

It is not a de Polignac number, because 132000112321 - 29 = 132000111809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132000112295 and 132000112304.

It is not an unprimeable number, because it can be changed into a prime (132000112351) 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 31 ways as a sum of consecutive naturals, for example, 9326176 + ... + 9340318.

It is an arithmetic number, because the mean of its divisors is an integer number (5242558464).

Almost surely, 2132000112321 is an apocalyptic number.

132000112321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132000112321 is a deficient number, since it is larger than the sum of its proper divisors (35761758527).

132000112321 is a wasteful number, since it uses less digits than its factorization.

132000112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16501.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132000112321 its reverse (123211000231), we get a palindrome (255211112552).

The spelling of 132000112321 in words is "one hundred thirty-two billion, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 7 11 53 77 371 583 2287 4081 14143 16009 25157 99001 121211 155573 176099 749579 848477 1089011 1333321 5247053 8245369 9333247 32345041 57717583 226415287 355795451 1714287173 2490568157 12000010211 18857158903 132000112321