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131415471 = 32111737673
BaseRepresentation
bin1111101010100…
…11110110101111
3100011021121010200
413311103312233
5232120243341
621012404543
73154004325
oct765236657
9304247120
10131415471
11681a9430
1238016753
13212c2b45
141364bd15
15b80cdb6
hex7d53daf

131415471 has 24 divisors (see below), whose sum is σ = 208303056. Its totient is φ = 79175040.

The previous prime is 131415463. The next prime is 131415499. The reversal of 131415471 is 174514131.

It is not a de Polignac number, because 131415471 - 23 = 131415463 is a prime.

It is a super-3 number, since 3×1314154713 (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 (131415371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13291 + ... + 20963.

It is an arithmetic number, because the mean of its divisors is an integer number (8679294).

Almost surely, 2131415471 is an apocalyptic number.

131415471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131415471 is a deficient number, since it is larger than the sum of its proper divisors (76887585).

131415471 is a wasteful number, since it uses less digits than its factorization.

131415471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863 (or 7860 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 131415471 is about 11463.6587091556. The cubic root of 131415471 is about 508.4116558585.

The spelling of 131415471 in words is "one hundred thirty-one million, four hundred fifteen thousand, four hundred seventy-one".

Divisors: 1 3 9 11 33 99 173 519 1557 1903 5709 7673 17127 23019 69057 84403 253209 759627 1327429 3982287 11946861 14601719 43805157 131415471