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131401413 = 33111334033
BaseRepresentation
bin1111101010100…
…00011011000101
3100011020212212000
413311100123011
5232114321123
621012215513
73153615333
oct765203305
9304225760
10131401413
1168199910
123800a599
13212b9620
1413646b53
15b808b43
hex7d506c5

131401413 has 32 divisors (see below), whose sum is σ = 228708480. Its totient is φ = 73509120.

The previous prime is 131401409. The next prime is 131401429. The reversal of 131401413 is 314104131.

It is not a de Polignac number, because 131401413 - 22 = 131401409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131401013) 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, 13156 + ... + 20877.

It is an arithmetic number, because the mean of its divisors is an integer number (7147140).

Almost surely, 2131401413 is an apocalyptic number.

131401413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131401413 is a deficient number, since it is larger than the sum of its proper divisors (97307067).

131401413 is a wasteful number, since it uses less digits than its factorization.

131401413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34066 (or 34060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131401413 is about 11463.0455377269. The cubic root of 131401413 is about 508.3935263189.

Adding to 131401413 its reverse (314104131), we get a palindrome (445505544).

The spelling of 131401413 in words is "one hundred thirty-one million, four hundred one thousand, four hundred thirteen".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 34033 102099 306297 374363 442429 918891 1123089 1327287 3369267 3981861 4866719 10107801 11945583 14600157 43800471 131401413