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132201020313 = 3237735438357
BaseRepresentation
bin111101100011111001…
…0110111101110011001
3110122020022112122212200
41323013302313232121
54131221430122223
6140422102400413
712360031063125
oct1730762675631
9418208478780
10132201020313
115108003628a
1221755a30109
13c60aba270b
146581930585
15368b1d2a43
hex1ec7cb7b99

132201020313 has 24 divisors (see below), whose sum is σ = 198804615048. Its totient is φ = 84577312512.

The previous prime is 132201020297. The next prime is 132201020321. The reversal of 132201020313 is 313020102231.

132201020313 is a `hidden beast` number, since 1 + 322 + 0 + 10 + 20 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69133236624 + 63067783689 = 262932^2 + 251133^2 .

It is not a de Polignac number, because 132201020313 - 24 = 132201020297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132201020383) 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, 2694870 + ... + 2743487.

It is an arithmetic number, because the mean of its divisors is an integer number (8283525627).

Almost surely, 2132201020313 is an apocalyptic number.

It is an amenable number.

132201020313 is a deficient number, since it is larger than the sum of its proper divisors (66603594735).

132201020313 is a wasteful number, since it uses less digits than its factorization.

132201020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438473 (or 5438470 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132201020313 its reverse (313020102231), we get a palindrome (445221122544).

The spelling of 132201020313 in words is "one hundred thirty-two billion, two hundred one million, twenty thousand, three hundred thirteen".

Divisors: 1 3 9 37 73 111 219 333 657 2701 8103 24309 5438357 16315071 48945213 201219209 397000061 603657627 1191000183 1810972881 3573000549 14689002257 44067006771 132201020313