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132330112420240 = 245719591214917351
BaseRepresentation
bin11110000101101010000001…
…010110000000100110010000
3122100112122011001121121102201
4132011222001112000212100
5114321044032234421430
61145235340413452544
736605351355402640
oct3605520126004620
9570478131547381
10132330112420240
1139189981693329
1212a12566aa1154
1358ab8a33b20a7
142496b51100520
1510473236688ca
hex785a81580990

132330112420240 has 320 divisors, whose sum is σ = 376452334080000. Its totient is φ = 42247983974400.

The previous prime is 132330112420217. The next prime is 132330112420267. The reversal of 132330112420240 is 42024211033231.

It is a super-2 number, since 2×1323301124202402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132330112420199 and 132330112420208.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7626647565 + ... + 7626664915.

It is an arithmetic number, because the mean of its divisors is an integer number (1176413544000).

Almost surely, 2132330112420240 is an apocalyptic number.

132330112420240 is a gapful number since it is divisible by the number (10) 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 132330112420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188226167040000).

132330112420240 is an abundant number, since it is smaller than the sum of its proper divisors (244122221659760).

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

132330112420240 is a wasteful number, since it uses less digits than its factorization.

132330112420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29598 (or 29592 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132330112420240 its reverse (42024211033231), we get a palindrome (174354323453471).

The spelling of 132330112420240 in words is "one hundred thirty-two trillion, three hundred thirty billion, one hundred twelve million, four hundred twenty thousand, two hundred forty".