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201331520541 = 3311113670991
BaseRepresentation
bin1011101110000001001…
…0110011010000011101
3201020200010202221022000
42323200102303100131
511244311332124131
6232253533112513
720355116455044
oct2734022632035
9636603687260
10201331520541
11784254382a8
1233029628739
1315ca7142258
149a5cc8955b
1553852ddce6
hex2ee04b341d

201331520541 has 16 divisors (see below), whose sum is σ = 298296203520. Its totient is φ = 134208735840.

The previous prime is 201331520503. The next prime is 201331520573. The reversal of 201331520541 is 145025133102.

201331520541 is a `hidden beast` number, since 2 + 0 + 133 + 1 + 520 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 201331520541 - 27 = 201331520413 is a prime.

It is a super-3 number, since 3×2013315205413 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331120541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35445 + ... + 635546.

It is an arithmetic number, because the mean of its divisors is an integer number (18643512720).

Almost surely, 2201331520541 is an apocalyptic number.

It is an amenable number.

201331520541 is a deficient number, since it is larger than the sum of its proper divisors (96964682979).

201331520541 is a wasteful number, since it uses less digits than its factorization.

201331520541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682113 (or 682107 counting only the distinct ones).

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

Adding to 201331520541 its reverse (145025133102), we get a palindrome (346356653643).

The spelling of 201331520541 in words is "two hundred one billion, three hundred thirty-one million, five hundred twenty thousand, five hundred forty-one".

Divisors: 1 3 9 27 11113 33339 100017 300051 670991 2012973 6038919 18116757 7456722983 22370168949 67110506847 201331520541