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132000013321 = 11249112911721
BaseRepresentation
bin111101011101111010…
…0000101110000001001
3110121201022022110010021
41322323310011300021
54130314000411241
6140350122220441
712352040412661
oct1727364056011
9417638273107
10132000013321
1150a87625800
12216ba654721
13c5a8354c77
146562d691a1
15367872a0d1
hex1ebbd05c09

132000013321 has 24 divisors (see below), whose sum is σ = 145583583264. Its totient is φ = 119593320000.

The previous prime is 132000013319. The next prime is 132000013367. The reversal of 132000013321 is 123310000231.

It is not a de Polignac number, because 132000013321 - 21 = 132000013319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132000013295 and 132000013304.

It is not an unprimeable number, because it can be changed into a prime (132000013021) 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 23 ways as a sum of consecutive naturals, for example, 76698741 + ... + 76700461.

It is an arithmetic number, because the mean of its divisors is an integer number (6065982636).

Almost surely, 2132000013321 is an apocalyptic number.

132000013321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132000013321 is a deficient number, since it is larger than the sum of its proper divisors (13583569943).

132000013321 is a wasteful number, since it uses less digits than its factorization.

132000013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132000013321 its reverse (123310000231), we get a palindrome (255310013552).

The spelling of 132000013321 in words is "one hundred thirty-two billion, thirteen thousand, three hundred twenty-one".

Divisors: 1 11 121 491 1291 1721 5401 14201 18931 59411 156211 208241 633881 845011 2221811 6972691 9295121 24439921 76699601 102246331 268839131 1090909201 12000001211 132000013321