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131406471 = 3273476011
BaseRepresentation
bin1111101010100…
…01101010000111
3100011021010210100
413311101222013
5232120001341
621012255143
73153636150
oct765215207
9304233710
10131406471
11681a2699
12380114b3
13212bba11
1413648927
15b80a3b6
hex7d51a87

131406471 has 24 divisors (see below), whose sum is σ = 217586304. Its totient is φ = 74860560.

The previous prime is 131406469. The next prime is 131406479. The reversal of 131406471 is 174604131.

It is a happy number.

131406471 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 647 + 1 = 666.

It is not a de Polignac number, because 131406471 - 21 = 131406469 is a prime.

It is a super-3 number, since 3×1314064713 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131406479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18856 + ... + 24866.

It is an arithmetic number, because the mean of its divisors is an integer number (9066096).

Almost surely, 2131406471 is an apocalyptic number.

131406471 is a deficient number, since it is larger than the sum of its proper divisors (86179833).

131406471 is a wasteful number, since it uses less digits than its factorization.

131406471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131406471 is about 11463.2661576010. The cubic root of 131406471 is about 508.4000493880.

The spelling of 131406471 in words is "one hundred thirty-one million, four hundred six thousand, four hundred seventy-one".

Divisors: 1 3 7 9 21 63 347 1041 2429 3123 6011 7287 18033 21861 42077 54099 126231 378693 2085817 6257451 14600719 18772353 43802157 131406471