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201453376221 = 32411808930181
BaseRepresentation
bin1011101110011110001…
…1101001001011011101
3201020222122001211212100
42323213203221023131
511300034031014341
6232314004555313
720361126305316
oct2734743511335
9636878054770
10201453376221
11784881a7279
12330623b2b39
1315cc64689c6
149a7112960d
155390d5e3b6
hex2ee78e92dd

201453376221 has 24 divisors (see below), whose sum is σ = 298111839480. Its totient is φ = 131015001600.

The previous prime is 201453376219. The next prime is 201453376231. The reversal of 201453376221 is 122673354102.

201453376221 is a `hidden beast` number, since 2 + 0 + 14 + 53 + 376 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21411005625 + 180042370596 = 146325^2 + 424314^2 .

It is not a de Polignac number, because 201453376221 - 21 = 201453376219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201453376231) 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, 6659751 + ... + 6689931.

It is an arithmetic number, because the mean of its divisors is an integer number (12421326645).

Almost surely, 2201453376221 is an apocalyptic number.

It is an amenable number.

201453376221 is a deficient number, since it is larger than the sum of its proper divisors (96658463259).

201453376221 is a wasteful number, since it uses less digits than its factorization.

201453376221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48317 (or 48314 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 201453376221 in words is "two hundred one billion, four hundred fifty-three million, three hundred seventy-six thousand, two hundred twenty-one".

Divisors: 1 3 9 41 123 369 18089 30181 54267 90543 162801 271629 741649 1237421 2224947 3712263 6674841 11136789 545944109 1637832327 4913496981 22383708469 67151125407 201453376221