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131226015 = 3529301669
BaseRepresentation
bin1111101001001…
…01100110011111
3100010220222020210
413310211212133
5232043213030
621004343503
73152255064
oct764454637
9303828223
10131226015
116808a058
1237b44b93
132125783b
14135dcc6b
15b7c1bb0
hex7d2599f

131226015 has 16 divisors (see below), whose sum is σ = 217202400. Its totient is φ = 67573632.

The previous prime is 131225993. The next prime is 131226019. The reversal of 131226015 is 510622131.

It is not a de Polignac number, because 131226015 - 216 = 131160479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131225982 and 131226000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131226019) 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 15 ways as a sum of consecutive naturals, for example, 150400 + ... + 151269.

It is an arithmetic number, because the mean of its divisors is an integer number (13575150).

Almost surely, 2131226015 is an apocalyptic number.

131226015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131226015 is a deficient number, since it is larger than the sum of its proper divisors (85976385).

131226015 is a wasteful number, since it uses less digits than its factorization.

131226015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301706.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131226015 is about 11455.3923983424. The cubic root of 131226015 is about 508.1672199925.

Adding to 131226015 its reverse (510622131), we get a palindrome (641848146).

The spelling of 131226015 in words is "one hundred thirty-one million, two hundred twenty-six thousand, fifteen".

Divisors: 1 3 5 15 29 87 145 435 301669 905007 1508345 4525035 8748401 26245203 43742005 131226015