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131536601 = 7198291193
BaseRepresentation
bin1111101011100…
…01011011011001
3100011111202021222
413311301123121
5232133132401
621015141425
73155020430
oct765613331
9304452258
10131536601
1168281439
1238074875
1321336011
1413680117
15b833c1b
hex7d716d9

131536601 has 16 divisors (see below), whose sum is σ = 158563200. Its totient is φ = 106593408.

The previous prime is 131536589. The next prime is 131536607. The reversal of 131536601 is 106635131.

It is a cyclic number.

It is not a de Polignac number, because 131536601 - 214 = 131520217 is a prime.

It is a super-3 number, since 3×1315366013 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131536607) 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 15 ways as a sum of consecutive naturals, for example, 109661 + ... + 110853.

It is an arithmetic number, because the mean of its divisors is an integer number (9910200).

Almost surely, 2131536601 is an apocalyptic number.

It is an amenable number.

131536601 is a deficient number, since it is larger than the sum of its proper divisors (27026599).

131536601 is a wasteful number, since it uses less digits than its factorization.

131536601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 131536601 is about 11468.9407095860. The cubic root of 131536601 is about 508.5678145202.

The spelling of 131536601 in words is "one hundred thirty-one million, five hundred thirty-six thousand, six hundred one".

Divisors: 1 7 19 133 829 1193 5803 8351 15751 22667 110257 158669 988997 6922979 18790943 131536601