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132013222110 = 232572114396199
BaseRepresentation
bin111101011110010011…
…0011110100011011110
3110121202020011112011200
41322330212132203132
54130330341101420
6140351313300330
712352260605400
oct1727446364336
9417666145150
10132013222110
1150a94027760
1221702b646a6
13c5aaccb213
146564a06b70
153679988b90
hex1ebc99e8de

132013222110 has 288 divisors, whose sum is σ = 436632768000. Its totient is φ = 27364417920.

The previous prime is 132013222109. The next prime is 132013222123. The reversal of 132013222110 is 11222310231.

132013222110 is a `hidden beast` number, since 1 + 320 + 1 + 322 + 21 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21292791 + ... + 21298989.

It is an arithmetic number, because the mean of its divisors is an integer number (1516086000).

Almost surely, 2132013222110 is an apocalyptic number.

132013222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132013222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384000).

132013222110 is an abundant number, since it is smaller than the sum of its proper divisors (304619545890).

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

132013222110 is a wasteful number, since it uses less digits than its factorization.

132013222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132013222110 its reverse (11222310231), we get a palindrome (143235532341).

The spelling of 132013222110 in words is "one hundred thirty-two billion, thirteen million, two hundred twenty-two thousand, one hundred ten".