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132344213001 = 37111344070667
BaseRepresentation
bin111101101000001010…
…1000110111000001001
3110122121021222121022120
41323100111012320021
54132020104304001
6140444215441453
712363420151410
oct1732025067011
9418537877276
10132344213001
1151143949050
1221795986289
13c63175a010
146596966477
153698a6a236
hex1ed0546e09

132344213001 has 32 divisors (see below), whose sum is σ = 236923911168. Its totient is φ = 63461759040.

The previous prime is 132344212999. The next prime is 132344213009. The reversal of 132344213001 is 100312443231.

It is a happy number.

It is not a de Polignac number, because 132344213001 - 21 = 132344212999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132344213009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22032331 + ... + 22038336.

It is an arithmetic number, because the mean of its divisors is an integer number (7403872224).

Almost surely, 2132344213001 is an apocalyptic number.

132344213001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132344213001 is a deficient number, since it is larger than the sum of its proper divisors (104579698167).

132344213001 is a wasteful number, since it uses less digits than its factorization.

132344213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44070701.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132344213001 its reverse (100312443231), we get a palindrome (232656656232).

The spelling of 132344213001 in words is "one hundred thirty-two billion, three hundred forty-four million, two hundred thirteen thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 44070667 132212001 308494669 484777337 572918671 925484007 1454332011 1718756013 3393441359 4010430697 6302105381 10180324077 12031292091 18906316143 44114737667 132344213001