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201003313131 = 331031272832011
BaseRepresentation
bin1011101100110010111…
…0110010011111101011
3201012211021012021101000
42323030232302133223
511243123322010011
6232201210330043
720344022654115
oct2731456623753
9635737167330
10201003313131
1178277148205
1232b57729923
1315c5414939a
149a2b4523b5
1553665ac356
hex2eccbb27eb

201003313131 has 64 divisors (see below), whose sum is σ = 304263331840. Its totient is φ = 131125871520.

The previous prime is 201003313111. The next prime is 201003313157. The reversal of 201003313131 is 131313300102.

It is a happy number.

201003313131 is a `hidden beast` number, since 20 + 1 + 0 + 0 + 331 + 313 + 1 = 666.

It is not a de Polignac number, because 201003313131 - 25 = 201003313099 is a prime.

It is a super-2 number, since 2×2010033131312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201003313111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99950916 + ... + 99952926.

It is an arithmetic number, because the mean of its divisors is an integer number (4754114560).

Almost surely, 2201003313131 is an apocalyptic number.

201003313131 is a deficient number, since it is larger than the sum of its proper divisors (103260018709).

201003313131 is a wasteful number, since it uses less digits than its factorization.

201003313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 201003313131 its reverse (131313300102), we get a palindrome (332316613233).

The spelling of 201003313131 in words is "two hundred one billion, three million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 103 127 283 309 381 849 927 1143 2011 2547 2781 3429 6033 7641 13081 18099 29149 35941 39243 54297 87447 107823 117729 207133 255397 262341 323469 353187 569113 621399 766191 787023 970407 1707339 1864197 2298573 3701923 5122017 5592591 6895719 11105769 15366051 26305891 33317307 58618639 72277351 78917673 99951921 175855917 216832053 236753019 527567751 650496159 710259057 1582703253 1951488477 7444567153 22333701459 67001104377 201003313131