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132032222001333 = 3265353453420293
BaseRepresentation
bin11110000001010100100101…
…101100001111100010110101
3122022111011020120020101220200
4132001110211230033202311
5114301203442313020313
61144450433200151113
736545004354540423
oct3601244554174265
9568434216211820
10132032222001333
1139084607279585
1212984890008499
13588977b647324
142486572220113
15103e6db2b5b73
hex781525b0f8b5

132032222001333 has 24 divisors (see below), whose sum is σ = 191009294336952. Its totient is φ = 87884832513408.

The previous prime is 132032222001319. The next prime is 132032222001341. The reversal of 132032222001333 is 333100222230231.

132032222001333 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 322 + 2 + 2 + 0 + 0 + 1 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10190760136209 + 121841461865124 = 3192297^2 + 11038182^2 .

It is not a de Polignac number, because 132032222001333 - 26 = 132032222001269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132032222001297 and 132032222001306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132032222001733) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 313933135 + ... + 314353427.

It is an arithmetic number, because the mean of its divisors is an integer number (7958720597373).

Almost surely, 2132032222001333 is an apocalyptic number.

It is an amenable number.

132032222001333 is a deficient number, since it is larger than the sum of its proper divisors (58977072335619).

132032222001333 is a wasteful number, since it uses less digits than its factorization.

132032222001333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474405 (or 474402 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132032222001333 its reverse (333100222230231), we get a palindrome (465132444231564).

The spelling of 132032222001333 in words is "one hundred thirty-two trillion, thirty-two billion, two hundred twenty-two million, one thousand, three hundred thirty-three".

Divisors: 1 3 9 653 1959 5877 53453 160359 420293 481077 1260879 3782637 34904809 104714427 274451329 314143281 823353987 2470061961 22465921729 67397765187 202193295561 14670246889037 44010740667111 132032222001333