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132121203201 = 32132077354361
BaseRepresentation
bin111101100001100001…
…0011001001000000001
3110122000202100112101100
41323003002121020001
54131041012000301
6140410131525013
712355041461151
oct1730302311001
9418022315340
10132121203201
1151039a7a529
1221733159769
13c5c74a7660
1465750b4761
1536841b8286
hex1ec3099201

132121203201 has 24 divisors (see below), whose sum is σ = 205535546216. Its totient is φ = 81299946240.

The previous prime is 132121203187. The next prime is 132121203217. The reversal of 132121203201 is 102302121231.

132121203201 is a `hidden beast` number, since 1 + 321 + 2 + 1 + 20 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31187913201 + 100933290000 = 176601^2 + 317700^2 .

It is not a de Polignac number, because 132121203201 - 214 = 132121186817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132121203601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2403261 + ... + 2457621.

Almost surely, 2132121203201 is an apocalyptic number.

It is an amenable number.

132121203201 is a deficient number, since it is larger than the sum of its proper divisors (73414343015).

132121203201 is a wasteful number, since it uses less digits than its factorization.

132121203201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75153 (or 75150 counting only the distinct ones).

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

Adding to 132121203201 its reverse (102302121231), we get a palindrome (234423324432).

The spelling of 132121203201 in words is "one hundred thirty-two billion, one hundred twenty-one million, two hundred three thousand, two hundred one".

Divisors: 1 3 9 13 39 117 20773 54361 62319 163083 186957 270049 489249 706693 810147 2120079 2430441 6360237 1129241053 3387723159 10163169477 14680133689 44040401067 132121203201