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131334318 = 23353109421
BaseRepresentation
bin1111101010000…
…00000010101110
3100011010110211000
413311000002232
5232110144233
621010541130
73153215613
oct765000256
9304113730
10131334318
1168153465
1237b977a6
1321294c1b
141362a50a
15b7e3d13
hex7d400ae

131334318 has 64 divisors (see below), whose sum is σ = 300801600. Its totient is φ = 42456960.

The previous prime is 131334283. The next prime is 131334319. The reversal of 131334318 is 813433131.

131334318 is a `hidden beast` number, since 1 + 313 + 34 + 318 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131334291 and 131334300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131334319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311748 + ... + 312168.

It is an arithmetic number, because the mean of its divisors is an integer number (4700025).

Almost surely, 2131334318 is an apocalyptic number.

131334318 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 131334318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150400800).

131334318 is an abundant number, since it is smaller than the sum of its proper divisors (169467282).

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

131334318 is a wasteful number, since it uses less digits than its factorization.

131334318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 131334318 is about 11460.1185857739. The cubic root of 131334318 is about 508.3069811536.

Adding to 131334318 its reverse (813433131), we get a palindrome (944767449).

It can be divided in two parts, 13 and 1334318, that added together give a palindrome (1334331).

The spelling of 131334318 in words is "one hundred thirty-one million, three hundred thirty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 109 159 218 318 327 421 477 654 842 954 981 1263 1431 1962 2526 2862 2943 3789 5777 5886 7578 11367 11554 17331 22313 22734 34662 44626 45889 51993 66939 91778 103986 133878 137667 155979 200817 275334 311958 401634 413001 602451 826002 1204902 1239003 2432117 2478006 4864234 7296351 14592702 21889053 43778106 65667159 131334318