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134213055201 = 321221172
BaseRepresentation
bin111110011111110111…
…0001011001011100001
3110211102112112121212100
41330333232023023201
54144332020231301
6141353455321013
712460632101061
oct1747756131341
9424375477770
10134213055201
1151a12852935
1222017820169
13c86b9a18c4
1466d2c3d3a1
153757b71286
hex1f3fb8b2e1

134213055201 has 9 divisors (see below), whose sum is σ = 193864889491. Its totient is φ = 89474637432.

The previous prime is 134213055181. The next prime is 134213055283. The reversal of 134213055201 is 102550312431.

The square root of 134213055201 is 366351.

It is a perfect power (a square), and thus also a powerful number.

134213055201 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 130 + 5 + 520 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123865283025 + 10347772176 = 351945^2 + 101724^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 134213055201 - 217 = 134212924129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134213055701) 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 8 ways as a sum of consecutive naturals, for example, 1037995 + ... + 1160111.

Almost surely, 2134213055201 is an apocalyptic number.

134213055201 is the 366351-st square number.

134213055201 is the 183176-th centered octagonal number.

It is an amenable number.

134213055201 is a deficient number, since it is larger than the sum of its proper divisors (59651834290).

134213055201 is an frugal number, since it uses more digits than its factorization.

134213055201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244240 (or 122120 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 134213055201 by its product of nonzero digits (3600), we get a square (483166998723600 = 219810602).

Adding to 134213055201 its reverse (102550312431), we get a palindrome (236763367632).

The spelling of 134213055201 in words is "one hundred thirty-four billion, two hundred thirteen million, fifty-five thousand, two hundred one".

Divisors: 1 3 9 122117 366351 1099053 14912561689 44737685067 134213055201