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132012030020 = 22513191311371489
BaseRepresentation
bin111101011110010000…
…1111011100001000100
3110121202010220221221012
41322330201323201010
54130330034430040
6140351231541352
712352244512043
oct1727441734104
9417663827835
10132012030020
1150a93393062
122170268a858
13c5aa9a1740
1465647b655a
153679800865
hex1ebc87b844

132012030020 has 192 divisors, whose sum is σ = 319188038400. Its totient is φ = 45459947520.

The previous prime is 132012029977. The next prime is 132012030037. The reversal of 132012030020 is 20030210231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132012029977 and 132012030004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88657436 + ... + 88658924.

It is an arithmetic number, because the mean of its divisors is an integer number (1662437700).

Almost surely, 2132012030020 is an apocalyptic number.

132012030020 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 132012030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159594019200).

132012030020 is an abundant number, since it is smaller than the sum of its proper divisors (187176008380).

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

132012030020 is a wasteful number, since it uses less digits than its factorization.

132012030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 132012030020 its reverse (20030210231), we get a palindrome (152042240251).

The spelling of 132012030020 in words is "one hundred thirty-two billion, twelve million, thirty thousand, twenty".