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201131505 = 34517131223
BaseRepresentation
bin10111111110100…
…00010111110001
3112000110112120000
423333100113301
5402442202010
631542540213
74661406141
oct1377202761
9460415500
10201131505
11a3596093
1257437669
1332892333
141c9d8921
15129ce7c0
hexbfd05f1

201131505 has 80 divisors (see below), whose sum is σ = 386394624. Its totient is φ = 99740160.

The previous prime is 201131479. The next prime is 201131507. The reversal of 201131505 is 505131102.

It is not a de Polignac number, because 201131505 - 213 = 201123313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201131507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 901824 + ... + 902046.

Almost surely, 2201131505 is an apocalyptic number.

It is an amenable number.

201131505 is a deficient number, since it is larger than the sum of its proper divisors (185263119).

201131505 is a wasteful number, since it uses less digits than its factorization.

201131505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 201131505 is about 14182.0839441882. The cubic root of 201131505 is about 585.9043212573.

Adding to 201131505 its reverse (505131102), we get a palindrome (706262607).

The spelling of 201131505 in words is "two hundred one million, one hundred thirty-one thousand, five hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 131 135 153 223 255 393 405 459 655 669 765 1115 1179 1377 1965 2007 2227 2295 3345 3537 3791 5895 6021 6681 6885 10035 10611 11135 11373 17685 18063 18955 20043 29213 30105 33405 34119 53055 56865 60129 87639 90315 100215 102357 146065 170595 180387 262917 300645 307071 438195 496621 511785 788751 901935 1314585 1489863 1535355 2366253 2483105 3943755 4469589 7449315 11831265 13408767 22347945 40226301 67043835 201131505