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131317218 = 232372732
BaseRepresentation
bin1111101001110…
…11110111100010
3100011002121100200
413310323313202
5232104122333
621010330030
73153115014
oct764736742
9304077320
10131317218
116814162a
1237b89916
132128a1c6
14136241b4
15b7ddc13
hex7d3bde2

131317218 has 54 divisors (see below), whose sum is σ = 296478819. Its totient is φ = 42005952.

The previous prime is 131317217. The next prime is 131317223. The reversal of 131317218 is 812713131.

It is a happy number.

131317218 is a `hidden beast` number, since 131 + 317 + 218 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 122478489 + 8838729 = 11067^2 + 2973^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8103.

It is a junction number, because it is equal to n+sod(n) for n = 131317191 and 131317200.

It is not an unprimeable number, because it can be changed into a prime (131317211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1798830 + ... + 1798902.

Almost surely, 2131317218 is an apocalyptic number.

131317218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131317218

131317218 is an abundant number, since it is smaller than the sum of its proper divisors (165161601).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131317218 is an equidigital number, since it uses as much as digits as its factorization.

131317218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 115 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 131317218 is about 11459.3724959092. The cubic root of 131317218 is about 508.2849193224.

The spelling of 131317218 in words is "one hundred thirty-one million, three hundred seventeen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 37 73 74 111 146 219 222 333 438 657 666 1314 1369 2701 2738 4107 5329 5402 8103 8214 10658 12321 15987 16206 24309 24642 31974 47961 48618 95922 99937 197173 199874 299811 394346 591519 599622 899433 1183038 1774557 1798866 3549114 7295401 14590802 21886203 43772406 65658609 131317218