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132113130201 = 32139711640949
BaseRepresentation
bin111101100001010001…
…1100110001011011001
3110122000012011101022100
41323002203212023121
54131031430131301
6140405242514013
712354613035543
oct1730243461331
9418005141270
10132113130201
1151035466128
1221730505909
13c5c590bc30
146573db2693
153683621286
hex1ec28e62d9

132113130201 has 24 divisors (see below), whose sum is σ = 207627984200. Its totient is φ = 80462232576.

The previous prime is 132113130181. The next prime is 132113130241. The reversal of 132113130201 is 102031311231.

132113130201 is a `hidden beast` number, since 1 + 321 + 13 + 130 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15114243600 + 116998886601 = 122940^2 + 342051^2 .

It is not a de Polignac number, because 132113130201 - 27 = 132113130073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132113130241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5809126 + ... + 5831823.

Almost surely, 2132113130201 is an apocalyptic number.

It is an amenable number.

132113130201 is a deficient number, since it is larger than the sum of its proper divisors (75514853999).

132113130201 is a wasteful number, since it uses less digits than its factorization.

132113130201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641065 (or 11641062 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132113130201 its reverse (102031311231), we get a palindrome (234144441432).

The spelling of 132113130201 in words is "one hundred thirty-two billion, one hundred thirteen million, one hundred thirty thousand, two hundred one".

Divisors: 1 3 9 13 39 97 117 291 873 1261 3783 11349 11640949 34922847 104768541 151332337 453997011 1129172053 1361991033 3387516159 10162548477 14679236689 44037710067 132113130201