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132033130101 = 3240935868821
BaseRepresentation
bin111101011110111001…
…0011010111001110101
3110121210121121221210200
41322331302122321311
54130400440130401
6140353304111113
712352622042235
oct1727562327165
9417717557720
10132033130101
1150aa4294944
1221709765499
13c5b217b7b2
146567509cc5
15367b5bc686
hex1ebdc9ae75

132033130101 has 12 divisors (see below), whose sum is σ = 191180821260. Its totient is φ = 87806871360.

The previous prime is 132033130091. The next prime is 132033130169. The reversal of 132033130101 is 101031330231.

It is a happy number.

132033130101 is a `hidden beast` number, since 1 + 32 + 0 + 331 + 301 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121277366001 + 10755764100 = 348249^2 + 103710^2 .

It is not a de Polignac number, because 132033130101 - 27 = 132033129973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033130181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17930730 + ... + 17938091.

It is an arithmetic number, because the mean of its divisors is an integer number (15931735105).

Almost surely, 2132033130101 is an apocalyptic number.

It is an amenable number.

132033130101 is a deficient number, since it is larger than the sum of its proper divisors (59147691159).

132033130101 is a wasteful number, since it uses less digits than its factorization.

132033130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35869236 (or 35869233 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132033130101 its reverse (101031330231), we get a palindrome (233064460332).

The spelling of 132033130101 in words is "one hundred thirty-two billion, thirty-three million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 9 409 1227 3681 35868821 107606463 322819389 14670347789 44011043367 132033130101