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131415412 = 22181181513
BaseRepresentation
bin1111101010100…
…11110101110100
3100011021121001111
413311103311310
5232120243122
621012404404
73154004212
oct765236564
9304247044
10131415412
11681a9387
1238016704
13212c2acb
141364bcb2
15b80cd77
hex7d53d74

131415412 has 12 divisors (see below), whose sum is σ = 231248836. Its totient is φ = 65344320.

The previous prime is 131415407. The next prime is 131415413. The reversal of 131415412 is 214514131.

It can be written as a sum of positive squares in 2 ways, for example, as 3363556 + 128051856 = 1834^2 + 11316^2 .

It is a super-3 number, since 3×1314154123 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131415413) 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 3 ways as a sum of consecutive naturals, for example, 90033 + ... + 91480.

Almost surely, 2131415412 is an apocalyptic number.

It is an amenable number.

131415412 is a deficient number, since it is larger than the sum of its proper divisors (99833424).

131415412 is a wasteful number, since it uses less digits than its factorization.

131415412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181698 (or 181696 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 131415412 is about 11463.6561358059. The cubic root of 131415412 is about 508.4115797733.

Adding to 131415412 its reverse (214514131), we get a palindrome (345929543).

The spelling of 131415412 in words is "one hundred thirty-one million, four hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 4 181 362 724 181513 363026 726052 32853853 65707706 131415412