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132200120221 = 1314968249933
BaseRepresentation
bin111101100011110111…
…1011011111110011101
3110122020020211221011221
41323013233123332131
54131221212321341
6140422031213341
712360020324011
oct1730757337635
9418206757157
10132200120221
115107a581004
1221755677251
13c60a948b10
146581778541
15368b0a5ed1
hex1ec7bdbf9d

132200120221 has 8 divisors (see below), whose sum is σ = 143324861400. Its totient is φ = 121211879232.

The previous prime is 132200120219. The next prime is 132200120231. The reversal of 132200120221 is 122021002231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 783720025 + 131416400196 = 27995^2 + 362514^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132200120221 - 21 = 132200120219 is a prime.

It is a super-3 number, since 3×1322001202213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132200120195 and 132200120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200120231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34123030 + ... + 34126903.

It is an arithmetic number, because the mean of its divisors is an integer number (17915607675).

Almost surely, 2132200120221 is an apocalyptic number.

It is an amenable number.

132200120221 is a deficient number, since it is larger than the sum of its proper divisors (11124741179).

132200120221 is a wasteful number, since it uses less digits than its factorization.

132200120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68250095.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132200120221 its reverse (122021002231), we get a palindrome (254221122452).

The spelling of 132200120221 in words is "one hundred thirty-two billion, two hundred million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 149 1937 68249933 887249129 10169240017 132200120221