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131034501 = 32133730269
BaseRepresentation
bin1111100111101…
…10110110000101
3100010120020112200
413303312312011
5232021101001
621000305113
73150526533
oct763666605
9303506480
10131034501
1167a69184
1237a72199
13211bb610
141358d153
15b785086
hex7cf6d85

131034501 has 24 divisors (see below), whose sum is σ = 209347320. Its totient is φ = 78454656.

The previous prime is 131034481. The next prime is 131034509. The reversal of 131034501 is 105430131.

131034501 is a `hidden beast` number, since 131 + 0 + 34 + 501 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42185025 + 88849476 = 6495^2 + 9426^2 .

It is not a de Polignac number, because 131034501 - 210 = 131033477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131034509) 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 23 ways as a sum of consecutive naturals, for example, 10806 + ... + 19463.

It is an arithmetic number, because the mean of its divisors is an integer number (8722805).

Almost surely, 2131034501 is an apocalyptic number.

It is an amenable number.

131034501 is a deficient number, since it is larger than the sum of its proper divisors (78312819).

131034501 is a wasteful number, since it uses less digits than its factorization.

131034501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30325 (or 30322 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131034501 is about 11447.0302262202. The cubic root of 131034501 is about 507.9198896656.

Adding to 131034501 its reverse (105430131), we get a palindrome (236464632).

The spelling of 131034501 in words is "one hundred thirty-one million, thirty-four thousand, five hundred one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 30269 90807 272421 393497 1119953 1180491 3359859 3541473 10079577 14559389 43678167 131034501