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3136607105 = 537113150041
BaseRepresentation
bin1011101011110100…
…1101001110000001
322002121002011001112
42322331031032001
522410432411410
61235124213105
7140504502062
oct27275151601
98077064045
103136607105
11136a595385
1273653a195
133acaa4448
1421a806569
1513557a105
hexbaf4d381

3136607105 has 16 divisors (see below), whose sum is σ = 3899891664. Its totient is φ = 2419845120.

The previous prime is 3136607041. The next prime is 3136607119. The reversal of 3136607105 is 5017066313.

It can be written as a sum of positive squares in 8 ways, for example, as 719104 + 3135888001 = 848^2 + 55999^2 .

It is not a de Polignac number, because 3136607105 - 26 = 3136607041 is a prime.

It is a super-2 number, since 2×31366071052 = 19676608262272962050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 54116 + ... + 95925.

It is an arithmetic number, because the mean of its divisors is an integer number (243743229).

Almost surely, 23136607105 is an apocalyptic number.

It is an amenable number.

3136607105 is a deficient number, since it is larger than the sum of its proper divisors (763284559).

3136607105 is a wasteful number, since it uses less digits than its factorization.

3136607105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150196.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 3136607105 is about 56005.4203180371. The cubic root of 3136607105 is about 1463.8167329653.

The spelling of 3136607105 in words is "three billion, one hundred thirty-six million, six hundred seven thousand, one hundred five".

Divisors: 1 5 37 113 185 565 4181 20905 150041 750205 5551517 16954633 27757585 84773165 627321421 3136607105