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132200133320 = 23510332087411
BaseRepresentation
bin111101100011110111…
…1011111001011001000
3110122020020212121011002
41323013233133023020
54131221213231240
6140422031354132
712360020410133
oct1730757371310
9418206777132
10132200133320
115107a58a932
1221755682948
13c60a951a78
14658177d21a
15368b0a9d15
hex1ec7bdf2c8

132200133320 has 32 divisors (see below), whose sum is σ = 300338176320. Its totient is φ = 52366653120.

The previous prime is 132200133257. The next prime is 132200133347. The reversal of 132200133320 is 23331002231.

132200133320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132200133292 and 132200133301.

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 7 ways as a sum of consecutive naturals, for example, 16039586 + ... + 16047825.

It is an arithmetic number, because the mean of its divisors is an integer number (9385568010).

Almost surely, 2132200133320 is an apocalyptic number.

132200133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132200133320 is an abundant number, since it is smaller than the sum of its proper divisors (168138043000).

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

132200133320 is a wasteful number, since it uses less digits than its factorization.

132200133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32087525 (or 32087521 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132200133320 its reverse (23331002231), we get a palindrome (155531135551).

The spelling of 132200133320 in words is "one hundred thirty-two billion, two hundred million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 32087411 64174822 128349644 160437055 256699288 320874110 641748220 1283496440 3305003333 6610006666 13220013332 16525016665 26440026664 33050033330 66100066660 132200133320