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131316417 = 337168501
BaseRepresentation
bin1111101001110…
…11101011000001
3100011002120021000
413310323223001
5232104111132
621010322213
73153112461
oct764735301
9304076230
10131316417
1168140a71
1237b89369
1321289a2b
1413623ba1
15b7dd87c
hex7d3bac1

131316417 has 16 divisors (see below), whose sum is σ = 197285760. Its totient is φ = 86310000.

The previous prime is 131316397. The next prime is 131316421. The reversal of 131316417 is 714613131.

131316417 is a `hidden beast` number, since 1 + 3 + 13 + 1 + 641 + 7 = 666.

It is not a de Polignac number, because 131316417 - 28 = 131316161 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131316617) 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, 32334 + ... + 36167.

It is an arithmetic number, because the mean of its divisors is an integer number (12330360).

Almost surely, 2131316417 is an apocalyptic number.

It is an amenable number.

131316417 is a deficient number, since it is larger than the sum of its proper divisors (65969343).

131316417 is an equidigital number, since it uses as much as digits as its factorization.

131316417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68581 (or 68575 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 131316417 is about 11459.3375462982. The cubic root of 131316417 is about 508.2838858528.

Adding to 131316417 its reverse (714613131), we get a palindrome (845929548).

The spelling of 131316417 in words is "one hundred thirty-one million, three hundred sixteen thousand, four hundred seventeen".

Divisors: 1 3 9 27 71 213 639 1917 68501 205503 616509 1849527 4863571 14590713 43772139 131316417