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132013310000 = 2454111392317
BaseRepresentation
bin111101011110010011…
…0110100000000110000
3110121202020022222201212
41322330212310000300
54130330401410000
6140351315215252
712352261422545
oct1727446640060
9417666288655
10132013310000
1150a940877a0
1221702ba7528
13c5ab02c220
146564a2abcc
1536799a4c35
hex1ebc9b4030

132013310000 has 200 divisors, whose sum is σ = 375498664464. Its totient is φ = 44311680000.

The previous prime is 132013309999. The next prime is 132013310027. The reversal of 132013310000 is 13310231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1320133100002 (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1383842 + ... + 1476158.

Almost surely, 2132013310000 is an apocalyptic number.

132013310000 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 132013310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187749332232).

132013310000 is an abundant number, since it is smaller than the sum of its proper divisors (243485354464).

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

132013310000 is a wasteful number, since it uses less digits than its factorization.

132013310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92369 (or 92348 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 132013310000 its reverse (13310231), we get a palindrome (132026620231).

The spelling of 132013310000 in words is "one hundred thirty-two billion, thirteen million, three hundred ten thousand".