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132340312104 = 2337211133721269
BaseRepresentation
bin111101101000000011…
…0001110100000101000
3110122121000122102021220
41323100012032200220
54132013104441404
6140444000102040
712363342043500
oct1732006164050
9418530572256
10132340312104
1151141724270
1221794604920
13c6309c25b0
14659622ca00
1536985494d9
hex1ed018e828

132340312104 has 384 divisors, whose sum is σ = 464393865600. Its totient is φ = 30870927360.

The previous prime is 132340312103. The next prime is 132340312127. The reversal of 132340312104 is 401213043231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132340312103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6211582 + ... + 6232850.

It is an arithmetic number, because the mean of its divisors is an integer number (1209359025).

Almost surely, 2132340312104 is an apocalyptic number.

132340312104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132340312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232196932800).

132340312104 is an abundant number, since it is smaller than the sum of its proper divisors (332053553496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132340312104 is a wasteful number, since it uses less digits than its factorization.

132340312104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21353 (or 21342 counting only the distinct ones).

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

Adding to 132340312104 its reverse (401213043231), we get a palindrome (533553355335).

It can be divided in two parts, 132340 and 312104, that added together give a palindrome (444444).

The spelling of 132340312104 in words is "one hundred thirty-two billion, three hundred forty million, three hundred twelve thousand, one hundred four".