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132321132009 = 3311599378059
BaseRepresentation
bin111101100111011110…
…1000011110111101001
3110122112200112222011000
41323032331003313221
54131443202211014
6140442033025213
712363020031033
oct1731675036751
9418480488130
10132321132009
1151131913a50
122178a0b5209
13c629a38421
146593878c53
153696a0b509
hex1ecef43de9

132321132009 has 64 divisors (see below), whose sum is σ = 217736064000. Its totient is φ = 78741486720.

The previous prime is 132321131989. The next prime is 132321132019. The reversal of 132321132009 is 900231123231.

132321132009 is a `hidden beast` number, since 1 + 323 + 2 + 11 + 320 + 0 + 9 = 666.

It is not a de Polignac number, because 132321132009 - 28 = 132321131753 is a prime.

It is a super-2 number, since 2×1323211320092 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132321132019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16415022 + ... + 16423080.

It is an arithmetic number, because the mean of its divisors is an integer number (3402126000).

Almost surely, 2132321132009 is an apocalyptic number.

It is an amenable number.

132321132009 is a deficient number, since it is larger than the sum of its proper divisors (85414931991).

132321132009 is a wasteful number, since it uses less digits than its factorization.

132321132009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9075 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 132321132009 in words is "one hundred thirty-two billion, three hundred twenty-one million, one hundred thirty-two thousand, nine".

Divisors: 1 3 9 11 27 33 59 99 177 297 531 649 937 1593 1947 2811 5841 8059 8433 10307 17523 24177 25299 30921 55283 72531 88649 92763 165849 217593 265947 278289 475481 497547 608113 797841 1426443 1492641 1824339 2393523 4279329 5230291 5473017 7551283 12837987 15690873 16419051 22653849 47072619 67961547 83064113 141217857 203884641 249192339 445525697 747577017 1336577091 2242731051 4009731273 4900782667 12029193819 14702348001 44107044003 132321132009