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131418005 = 553613809
BaseRepresentation
bin1111101010101…
…00011110010101
3100011021201121112
413311110132111
5232120334010
621012424405
73154014605
oct765243625
9304251545
10131418005
1168200324
1238018105
13212c4044
141364cc05
15b80da05
hex7d54795

131418005 has 16 divisors (see below), whose sum is σ = 161138160. Its totient is φ = 102855168.

The previous prime is 131417999. The next prime is 131418011. The reversal of 131418005 is 500814131.

It is an interprime number because it is at equal distance from previous prime (131417999) and next prime (131418011).

It can be written as a sum of positive squares in 8 ways, for example, as 1435204 + 129982801 = 1198^2 + 11401^2 .

It is a cyclic number.

It is not a de Polignac number, because 131418005 - 24 = 131417989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162041 + ... + 162849.

It is an arithmetic number, because the mean of its divisors is an integer number (10071135).

Almost surely, 2131418005 is an apocalyptic number.

It is an amenable number.

131418005 is a deficient number, since it is larger than the sum of its proper divisors (29720155).

131418005 is an equidigital number, since it uses as much as digits as its factorization.

131418005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 131418005 is about 11463.7692318016. The cubic root of 131418005 is about 508.4149236291.

The spelling of 131418005 in words is "one hundred thirty-one million, four hundred eighteen thousand, five".

Divisors: 1 5 53 265 613 809 3065 4045 32489 42877 162445 214385 495917 2479585 26283601 131418005